Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Answers

Answer 1

The correct option is D f⁻¹(x) = 2 + √(x + 2).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function of a function f in mathematics is a function that reverses the operation of f.

The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,

f⁻¹(x) = 2 + √( x + 2).

Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).

To know more about a function follow

brainly.com/question/3831584

#SPJ1


Related Questions

You are running a fuel economy study. One of the cars you find is blue. It can travel 30 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 27 1/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of​ gasoline?

Answers

You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon1 gallon of​ gasoline?

 

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80   =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

Answer:

The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34

The scale of a blueprint is 1 in.=20 ft.
The length of a wall in the blueprint is 2.5 in. What is the length of the actual wall?
What is the blueprint length of an entrance that is 5 ft wide?

Answers

Answer:

1) 50 feet

2) 0.25 or 1/4 inches

Step-by-step explanation:

If one inch is equal to 20 feet, then multiply 20 by 2.5 to find the length of the actual wall

5 feet is a fourth of 20 feet, and since 1 inch is equal to 20 feet, it would also be a fourth of an inch

Using the slope formula, find the slope of the line through the given points.
(12,0) and (4,-6)

Answers

Answer:

Step-by-step explanation:

gradient = y2-y1/x2-x1

-6-0/4-12

-6/-8

=3/4

(5,6) and (6,8) equation of line​

Answers

Hdjdjdjdbdhdjdjdjdjdjjdirhebdudbxjd chbduxbxbdhxbxh

The baby lions at the zoo are growing. For the first 4 months, they eat 10 ounces of food per day. Every month after that, the amount of daily food is multiplied by 1.5. How much will the lions eat per day during month 10? When will the lions eat more than 5 pounds per day?

Answers

Answer:

48.3

Step-by-step explanation:

If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same
speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
miles.

Answers

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

Pls anyone know this

Answers

He can make
526
562
265
256
652
625
Answer:
256
265
526
562
625
652

I think that’s it. Hope this helps

Use a model to explain why any number – (–7) is the same as that number + 7.

(PLEASEEEE HELPPP)

Answers

Answer:

say you buy something for 10 dollars, you are going to get charged for it, but if you take item off of your shopping cart you are taking away the -10 dollars that wouldve been charged.

Step-by-step explanation:

the reason this works is because you take away something that makes it less.

- (-7) is basically just saying delete that -7. that's why - (-7) is the same as +7

Evaluate for b

50 = -1/3b + 20

Answers

Answer:

50=−13⋅+20

Step-by-step explanation:

Instructions: Evaluate f(x) = 2x + 5 for the following and enter
your answer in the space provided. Do not include any spaces in
your answer.
f(-1) =
f(2)=
f(0) =
f(z)=

Answers

Answer:

f(1) = 3

f(2) = 9

f(0) = 5

f(z) =2z + 5

Step-by-step explanation:

f(x) = 2x +5     let x = -1; 2, 0, z and simplify if you can.

f(-1) = 2(-1) +5 ; -2 +5

f(2) = 2(2) + 5;  4 + 5

f(0) = 2(0) + 5; 0 + 5

f(z) = 2z +5; 2z + 5

Are the ratios 2:3 and 4:6 equivalent? Explain your answer.
PLSS HELP ME

Answers

Answer: Yes

Step-by-step explanation:

2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.

Use the following function rule to find f(81).


Answers

Answer:

1

Step-by-step explanation:

x/81

x=81

81÷81=1

--------------------

5.5.WW3
Question Help
Find the quotient
30)593
Select the correct choice below and fill in the answer box(es) within your choice.
OA. The quotient is
OB. The quotient is
R

Answers

19.7666
Because it just makes since I think

Look at the figure. How can you prove the triangles are congruent?

A) it is not possible to determine if the triangles are congruent

B) ABD = CBD by the SSS postulate

C) ABD = CBD by the SSS postulate

Answers

Answer:

Δ ABD ≅ Δ CBD  SSS

Step-by-step explanation:

AB ≅ CB                  Given                                

AD ≅ DC                  Given                                

BD ≅ BD                  Reflexive property      

Δ ABD ≅ Δ CBD      SSS      

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

a) $3.30/6kg = 0.55 dollars per kilogram

b) 448km/7h = 64 kiliometres per hour

For each unit rate, divide the units in where usually the biggest one is on top

Have a good one

Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x <47)?
A. 0.16
B. 0.025
C. 0.975
D. 0.84

Answers

Answer: A

0.16

Step-by-step explanation:

just took it

A woman places a laser pointer on the ground and shines it at the top of a lamp post. She then
stands between the laser and the lamp post so the laser just barely touches the top of her head.
The woman, the lamppost, the laser, and the ground combine to form two similar right triangles.
She is standing 2.4 meters away from the lamppost and 2.1 meters from the laser. If the woman
is 1.8 meters tall, how tall is the lamppost?

Answers

B you need b b is the hey to everyone 2x2 6x6

How to increase 78 by 80%

Answers

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Can you help me find x
8th grade math

Answers

Answer:

x=53

Step-by-step explanation:

all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is

180-74=106

106/2= 53

Answer:x=52

180-74=104

104 divided by 2 to get 52

Step-by-step explanation: you would have to divide because both sides are the same size so they would be even. so that is how you would get the answer 52

Amelie found the solutions of the equation x^2-x=42 to be 6 and -7. Explain why this answer is incorrect. Then, find the correct solutions.

Answers

Answer:

see below

Step-by-step explanation:

x^2-x=42

Check the solutions

6^2 -6 = 42

36-6 =42

30=42

This is not true so 6 is not a solution

Let's find the solutions

Subtract 42 from each side

x^2-x-42=0

Factor

(x-7)(x+6) =0

Using the zero product property

x-7 =0   x+6=0

x=7   x=-6

Write 3.7 as a fraction

Answers

Answer:

37/10

Step-by-step explanation:

brainliest plz

for first answering

Answer:

3 7/10

Step-by-step explanation:

️️️️️️️️️️️

you walk into a room.on the bed,there 2 dogs, 4 cat, a girrafe, 5 cows and a duck.there are also three chickens flying above the bed.how many legs are on the floor ?

Answers

Answer:

50 legs

Step-by-step explanation:

We know that a dog has 4 legs, a cat has 4 legs, a giraffe has 4 legs, a duck has 2 legs, and a chicken has 2 legs. So, we want to calculate [tex]2(4)+4(4)+1(4)+5(4)+1(2)+3(2)[/tex], right?

Wrong! It's a trick question! The chickens aren't on the floor, so they don't count. So, we really want [tex]2(4)+4(4)+1(4)+5(4)+1(2)[/tex].

We multiply it out to get [tex]8+16+4+20+2[/tex].

We add these up to get [tex]50[/tex].

So, our answer is [tex]\boxed{50}[/tex] legs.

30 POINTS AND BRAINLEST FOR ANSWER HELP!!!!!

Answers

Answer:

a

Step-by-step explanation:

The difference of thirteen and a number.

Answers

Answer:

13-n

Step-by-step explanation:

n represents the number

6a) find the value of x in the following proportions. a) 3:5=12:x b) 4:3=20:x c) 5:6=x:12 d) 7:2=x:6​

Answers

Answer:

A. x = 20

B.x = 15

C. x = 10

D. x = 21

Step-by-step explanation:

In pic they are in order

(Credit: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

what number is represented by each point on the number line

Answers

Answer:

Every point of a number line is assumed to correspond to a real number, and every real number to a point. The integers are often shown as specially-marked points evenly spaced on the line.

8.5 inches to centimeters

Answers

answer: 21.59

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest (if i helped of course) if you get a chance:)

Answer:

21.59cm

Step-by-step explanation:

Multiply 8.5 by 2.54 to convert in. to cm.

what is the amount of water in the aquarium at 0 minutes

Answers

Answer:

I would guess it would be 0 but is there a graph or background info

?

Step-by-step explanation:

please help asap, this is for a math project! (ill give brainliest)
Write 7/571 as a mixed number!

Answers

Answer:

7

Step-by-step explanation:

jh

Answer:

7+32/77

Step-by-step explanation:

What is the approximate value of the number below rounded to the
nearest tenths.
37
——
√144

Answers

Answer:

3.08

Step-by-step explanation:

because 144 is a squre root of 12

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