Help please!
Find the inverse equation of this function
f(x) = (x + 6)^2 + 1

Thank you!!

Answers

Answer 1

Step-by-step explanation:

you're just going to switch x and y and then solve for y

Help Please!Find The Inverse Equation Of This Function F(x) = (x + 6)^2 + 1Thank You!!
Answer 2

Answer:

Hello,

Step-by-step explanation:

The problem is that the inverse function is not a function but

an union of 2 functions.

[tex]y=(x+6)^2+1\ is\ the\ orignal\ function\ f(x).\\\\Inverting\ x\ and\ y\ gives: \ x=(y+6)^2+1\\\\(y+6)^2=x-1 \ nota\ bene\ x-1\geq 0 \\(y+6)^2-(x-1)=0\\\\((y+6)-\sqrt{x-1} ) * ((y+6)+\sqrt{x-1}) =0\\\\y=-6+\sqrt{x-1}-6\ or\ y=-6-\sqrt{x-1}\\[/tex]

For the fun

,[tex]f_1(x)= (x+6)^2+1=0\ if\ x<6\\f_1^{-1}(x)=-6-\sqrt{x-1} =0\ if\ x<6\\\\f_2(x)=(x+6)^2+1=0\ if\ x \geq 6\\\\f_2^{-1}(x)=-6+\sqrt{x-1} =0\ if\ x\geq 6\\[/tex]

Help Please!Find The Inverse Equation Of This Function F(x) = (x + 6)^2 + 1Thank You!!

Related Questions

Which ordered pair can be plotted together with these four points, so the resulting graph still represents a function?
•(2, -1)

•(2, -2)

•(-2, 2)

•(-1, 2)

Answers

Answer:

-1,2 can be plotted together with these four points ...

Consider the quadratic expression 13x^2 + nx - 17. For certain values of n, it may be factored into a product of two linear polynomials, both of which have integer coefficients. What are all such values of n?

Answers

Answer:

n = 220, 4, -4, -220

Step-by-step explanation:

factors of 17: 17, 1, -1, -17

13 is prime number: 13 x  1 = 13

(ax+b)(cx+d) = axcx+axd+bcx+bd

(x + 17)(13x - 1) = 13x^2 + 220x - 17, n = 220

(x - 17)(13x + 1) = 13x^2 - 220x - 17, n = -220

(x + 1)(13x - 17) = 13x^2 - 4x - 17, n = -4

(x - 1)(13x + 17) = 13x^2 + 4x - 17, n = 4

need help with this!!!

Answers

Answer:

It's D I sure about it correspond means identical... The matching number

Find what percent of the total number of calories comes from fat calories. Round to the nearest tenth of a percent if necessary.

___% of the calories are fat calories.

Answers

Answer:

5 percent ...................

2. Apply the laws of indices and simplify. h)
[tex]3 \sqrt{x {?}^{2} {y}^{2} } [/tex]

Answers

Answer:

sub to the students notice the best of luck in life is good and u don't know what to do

U need to do stuff while solving other stuff because that’s the stuff u gotta do


Phythagorean theorem help plsss

Answers

Answer:

95cm

Step-by-step explanation:

c²=76²+57²

c²=5776+3249

√c²=√9025

c=95

I hope this helps

There are 7 blue counters, 3 green counters and 1 red counter in a bag.
There are no other counters in the bag.
Hubert takes at random 2 counters from the bag.
Work out the probability that both counters are blue.

Answers

Answer:

21/55

Step-by-step explanation:

7 blue counters, 3 green counters and 1 red counter  = 11 counters

1st counter

P(blue)= blue / total = 7/11

Now there are only 10 counters

6 blue counters, 3 green counters and 1 red counter  = 10 counters

2nd counter

P(blue)= blue / total = 6/10 = 3/5

P(blue blue) = 7/11 * 3/5 = 21/55

SEE QUESTION IN IMAGE

Answers

Answer:

(b)

Total frequencies:

25 - 4 = 21

Multiples of 3 or 5:

6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10

Required probability:

P(3x or 5x) = 10/21

(c)

Limes = 10 + 6 = 16Apples = 8 + 6 = 14Total = 16 + 14 = 30

(i) Good limes = GL = 10

P(GL, GL) = 10/30*9/29 = 3/29

(ii) Good fruits = GF = 10 + 8 = 18

P(GF, GF) = 18/30*17/29 = 51/145

(iii) Good apple = GA = 8, Bad lime = BL = 6

P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

[tex]20^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

Let the angle we want to find be [tex]\theta[/tex]. [tex]\theta[/tex]'s adjacent side is 49 and the hypotenuse of the triangle is 52.

Therefore, we have the equation:

[tex]\cos \theta=\frac{49}{52}[/tex]

Take the inverse cosine of both sides:

[tex]\arccos (\cos \theta)=\arccos(\frac{49}{52})[/tex]

Simplify using [tex]\arccos (\cos \theta)=\theta \text{ for }\theta \in (0, 180^{\circ})[/tex]:

[tex]\theta=\arccos(\frac{49}{52}),\\\theta=19.557214,\\\theta\approx \boxed{20^{\circ}}[/tex]

is kanye going to drop donda on august 6th?

Answers

Answer:

off topic

Step-by-step explanation:

I need help plz thx

Answers

Answer:

Perimeter = 36 units

Step-by-step explanation:

The figure given has been labelled with letters for easy reference.

Recall: when two tangents segments meet at a point outside the circle, the two segments that are tangent to the circle are congruent to each.

Perimeter = a + b + c + d + e + f

e = 4 (given)

e = f = 4 (tangents drawn from an external point)

b = 10 - f

Substitute

b = 10 - 4

b = 6

b = a = 6 (tangents drawn from an external point)

c = 8 (given)

c = d = 8 (tangents drawn from an external point)

Perimeter = 6 + 6 + 8 + 8 + 4 + 4

Perimeter = 36 units

Please help I will give brainliest to whoever helps

Answers

Answer:

A = x + 15

B = 1 + 2

Step-by-step explanation:

x 2 + 17x + 30

x2 + 15 x + 2x + 30

1 ( x + 15 ) + 2 ( x + 15 )

 ( x + 15 ) ( 1 + 2 )

Hope this  answer helps you :)

Have a great day

Mark brainliest

plz help asap!!!¡!!!!​

Answers

I believe it should be 10 hours and 15 minutes

not sure how to solve

Answers

You just need to put it into proportions Since they are similar.

subtract these polynomials

Answers

Answer:

option (D) is the answer

Answer:

[tex]-4x^{2} + 6x + 4[/tex]

Answer choice D

Step-by-step explanation:

41. If two fair coins are tossed what is the probability of getting at least one head? _____________

Answers

Answer:

3/4

Step-by-step explanation:

The possible outcomes when tossing two coins are

HH  HT TH TT  where H is heads and T is tails

There are 3 outcomes where we get at least one head

Positive outcomes over total outcomes

3/4

help me please it easy.

Answers

Answer: there is no picture attached or equation? what's the question?

Step-by-step explanation:

ok, what do you need help with?

Square inscribed in a circle with radius 16.

I’ll mark u as a brainliest!!

Answers

Answer:

if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)

-8z^{-2} Write the expression using only positive exponents. Assume no denominator equals zero.

Answers

Answer:

Step-by-step explanation:

-8z⁻² = -8/z²

FIND THE PERIMETER OF THIS FIGURE. USE 3.14 FOR PI. WRITE YOUR ANSWER AS A DECIMAL.

Answers

9514 1404 393

Answer:

  38.27 feet

Step-by-step explanation:

The perimeter is the sum of the side lengths. The curved side is half the circumference of a circle with diameter 11 feet.

  P = 5 + 11 + 5 + (1/2)π(11)

  P = 21 + 5.5(3.14) = 38.27 . . . feet

__

The circumference of a circle is ...

  C = πd . . . for diameter d

find the value of x.

Answers

Answer: x=35

Step-by-step explanation:

To find the value of x, we can use the Pythegorean Theorem because this is a right triangle.

Pythagorean Theorem: a²+b²=c²

[tex]12^2+x^2=(x+2)^2[/tex]             [exponent and distribute]

[tex]144+x^2=x^2+4x+4[/tex]       [subtract both sides by 144]

[tex]x^2=x^2+4x-140[/tex]             [subtract both sides by x²+4x]

[tex]-4x=-140[/tex]                       [divide both sides by -4]

[tex]x=35[/tex]

Now, we know that x=35.

What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic

Answers

Answer:

Option: C

Step-by-step explanation:

As marked,

In triangle WKQ. In triangle MQK

WK. = MQ. (Given)

WQ. = MK. (Given)

KQ. = KQ. (Common side)

Hence,

As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.

Help please............./..

Answers

Answer:

D

Step-by-step explanation:

Plz help plz plzplz plz help

Answers

Answer:

the answer is C.7.2. good luck

Answer:

7.3

Step-by-step explanation:

Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4

Answers

Answer:

C

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 -3x+4[/tex]

And we want to evaluate it for x = 3a.

Substitute:

[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]

Square:

[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]

Simplify:

[tex]f(3a) = 18a^2-9a+4[/tex]

Hence, our answer is C.

What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?

Answers

Answer:

firstly find the gradient given by the equation

m=y2-y1/x2-x1

in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16

m=-16+8/-17+12

=-8/-5 or1.6

then use the equation

y-y1=m(x-x1)

y+8=1.6(x+12)

y+8=1.6x+19.2

y=1.6x+11.2

I hope this helps and sorry if it's wrong

can someone give me a little assistance and an explanation ?

Answers

9514 1404 393

Answer:

  when the number of persons is less than 10

Step-by-step explanation:

The red line indicates the charges for Mount Joy Pool. It is below the blue line for "number of people" less than 10. That means Mount Joy Pool charges less than Woodbridge Pool for fewer than 10 people.

Assuming Arthur is interested in paying as little rent as necessary, he should select Mount Joy Pool when he is renting for less than 10 people.

__

Additional comment

The rent for 10 people is the same at either location, so there is nothing to favor Mount Joy Pool for 10 people. For more than 10 people, Woodbridge Pool charges less rent.

Select the correct answer. If x- 12sqrt x +36 = 0 , what is the value of x?

Answers

Answer:

36

Step-by-step explanation:

Let a² = x

a²-12a+36=0

or, (a-6)²=0

or, a-6=0

or, a = 6

Now a² = x, so x = 6² = 36

q divided by 6 + p; use p = 10, and q = 12

Answers

Answer: =12

Step-by-step explanation:

12 divided by 6=2+10=12

q/6+p = 12/6+10 = 12/16 = 0.75

hope this helps!! plz mark brainliest.

How does the graph of g(x) = 1/x-5 +2 compare to the graph of the parent function f(x)= 1/x?

Answers

Answer: Its 5 units to the right and 2 units up.

Other Questions
Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,500 meters in 6 seconds 4. $36 for 4 rounds of shrimp Prove the given statement below. Please Two solid cubes have the same Mass but their edges are in the ratio of 4:1. What isthe ratio of their densities? Which fractions are equivalent to 40%? Check all that apply.StartFraction 8 Over 100 EndFractionTwo-fifthsStartFraction 8 Over 20 EndFractionStartFraction 4 Over 10 EndFractionStartFraction 16 Over 40 EndFractionbtw: its a multiple choice question I NEEDDDDD HELPPPP ITS URGENTTTT!!!!!!! Hhhhhhhhhhhhhhhhuuiuu slide transition can be defined as ____ of one slide after another 0.3 (4 - x) =x - 1.4 Please help !!! Plzzzz A certain amount of NaOH is dissolved in certain kilograms of solvent and molality of the solution is 0.5 m. When the same amount of NaOH is dissolved in 100 grams of less solvent than initial then molality becomes 0.625 m. Determine the amount of NaOH and the initial mass of solvent. Can someone help me on this please How does satire create meaning in this cartoon? How are investors taxed on stocks and mutual fund investments? Check all that apply. HELP ME QUICK ill give u brainiest During the course, you may experience some stressful moments. How will you organize yourself and what strategies will you use to cope with stress during the course? What is your goal for the course and how do you plan to achieve this goal? help can be needed please What is the expected number of tails when a fair coin is tossed 100 times? simplify 6 1/4 - 3 2/5 A certain standardized test measures students knowledge in English and math. The English and math scores for 10 randomly selected students were recorded and analyzed. The results are shown in the computer output.Which of the following represents the standard deviation of the residuals?1.22334.5578.712124.13I think it's (B), 34.55 Given a committee of 8 women and 11 men, how many different ways are there to pick a female president, a male treasurer, and a secretary of either gender if one of the men, Pete, says that he cannot be the treasurer? Assume that none can hold more than one office.