4.) solve for f(g(2))

4.) Solve For F(g(2))

Answers

Answer 1

Answer:

[tex]f(g(2))=10[/tex]

Step-by-step explanation:

We have the two functions: [tex]f(x)=3x-5[/tex] and [tex]g(x)=2+\frac{6}{x}[/tex].

We want to find [tex]f(g(2))[/tex].

So, let's use the second function to find [tex]g(2)[/tex] first:

[tex]g(2)=2+\frac{6}{2}[/tex]

Divide:

[tex]g(2)=2+3[/tex]

Add:

[tex]g(2)=5[/tex]

Therefore, our expression is the same to [tex]f(g(2))=f(5)[/tex].

Now, we can substitute 5 for f(x). This yields:

[tex]f(5)=3(5)-5[/tex]

Multiply:

[tex]f(5)=15-5[/tex]

Subtract:

[tex]f(5)=10[/tex]

So:

[tex]f(g(2))=10[/tex]

And we're done!


Related Questions

If ABCD = QRST , m∠A = x - 10, and m∠Q = 2x - 30, what is m∠A?

Answers

Answer:

m<A = 10

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

See https://brainly.com/question/11662137?referrer=searchResults

Help pleaseeee!!!!!!!!!!

Answers

Answer:

I think it's false.

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

6 has a relation to 5 and 10.

Answer:

No it's not a function

Step-by-step explanation:

Only right answers get five stars and a thanks.

Answers

Answer:

y = 5/4x + 9

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

m = 5/4

Random point (-8, -1)

y = 5/4x + b

Step 2: Find y-intercept b

-1 = 5/4(-8) + b

-1 = -10 + b

b = 9

Step 3: Write linear equation

y = 5/4x + 9

what is the answer to 198=154+7x-68

Answers

Answer:

it is x=16

Step-by-step explanation:

Mr. Meyer bought a block of fudge that weighed 1/2 of a pound. He cut the fudge into 5 equal pieces. What was the weight of each piece of fudge?

Answers

Answer:

2.5 lb

Step-by-step explanation:

there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class​

Answers

Answer:

hope it helps you

Step-by-step explanation:

Let

A be the set of students in art class

B be the set of students in dance class

n(A) = 35    

n(B) = 57      

a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80

b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B)  = 35 + 57 = 92

what are cordinate planes

Answers

Answer:

hey you can use google

Step-by-step explanation:

first write your question then look for useful answers

Answer:

where points are on a grid

Step-by-step explanation:

What is the ratio of water to drink mix?

Answers

Answer:

8:3

Step-by-step explanation:

it show that there is 8 cups of water and 3 of drink mix

Answer:

8:3

Step-by-step explanation:

yes

What is the place value of the
underlined digit?
2,455,037

Answers

Answer:

millions

Step-by-step explanation:

Its millions because the 4 is hundred thousands


5, -10, 15, – 20, 25

Answers

Answer:

...-30, 35, -40, 45,-50

Step-by-step explanation:

Following the pattern I saw this was the answer

find all solutions to the equation in the interval [0,2n) cos x = sin 2x

Answers

Answer:

[tex]\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}[/tex]

Step-by-step explanation:

[tex]\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}[/tex]

[tex](1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}[/tex]

[tex](2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi[/tex]

[tex]\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}[/tex]

PLEASE HELP ME, I WILL GIVE U BRAINLY AND ALL MY POINTS AND THANKS FOR CORRECT ANSWER!!help me plzzzzzzzz

Orville and Jerri want to put a custom made, round table in their dining room. The table top is made of glass with a diameter of 85 inches. The front door is 36 inches wide and 80 inches tall. Orville thinks the table top will fit through the door, but Jerri does not. Who is Correct?

Answers

Answer:

I think it will fit

Step-by-step explanation:

36 + 80 = 116 which is more than 85

Find the length of the missing side.
1.
35 m
21 m

Answers

24 THERE U HAVE UR AMSWER
21 is yOur answer hope it helps

cuál es el factor de 81​

Answers

3, 9 , 27 y 81

Por lo tanto de los factores de 81 los múltiplos de 3 son 3, 9, 27 y 81

Four bunches of seedless black grapes costs $8. How many bunches can you buy for $20

Answers

Answer:

Hi there

Your answer is

10 Bunches

Step-by-step explanation:

4 bunches= 8$

/8 for how many bunches per 1$

.5bunches= 1$

*20

10bunches=20$

He is right it is 10 cause 8 divided by four is 2 so 20 divided by 2 is ten

the table shows the gallons filled in a pool over time (ASAP)

Answers

Answer:

125, 250, 500, 625

Step-by-step explanation:

As you can see, half of the pool is 500. 2 halves would make a whole, concluding the pool is 1000. Then for the 1/8, do 1000/8. Getting 125. 1000/4 would make it 250. And then taking the 125 from the earlier division of 8 and multiplying by 5 will get you 625. Hope this helps <3

PLEASE ANSWER FAST
the perimeter of a triangle is equilateral. What is the length of 1 side of the triangle? write as an expression

Answers

The length of all the sides is same, if u want to write it as an expression, you can write it as any variable, x,y or z

3 - +4 - = ?
4 4
OA.
3
7 -
4
OB.
4
3
8
OC.
8
OD. 7

Answers

The answer to this question is 8.


You just simplify it

Jamaal is mixing blue and yellow paint to make green. He adds 2 parts blue paint to 2 parts yellow paint.
For every 1 part blue paint, there
yellow paint.
Jamaal is not happy with thecolor and adds 1 more part of blue paint. This will make the green paint more

Answers

For every 1 part blue paint, there  

 

✔ is 1 part

yellow paint.

Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more  

✔ blue

.

While visiting an orchard, the Williams family picked 98 apples, 49 oranges, 52 lemons, and 103 limes.
Approximately how much fruit did the family pick in total that day?

Answers

Answer:

302

Step-by-step explanation:

should be 302 (98+49+52+103) but I would check to make sure all the things listed are considered fruit

ANSWER ASAP!!!!
The perimeter of a rectangle is 54 cm. The width is three cm more than the length. What are the dimensions of the rectangle?
The length of the rectangle is __ cm and the width is __ cm.

Answers

Answer: length = 12 width = 15

12 times 2 = 24

12 + 3 = 15

15 times two is 30

30 plus 24 is 54

To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each incorrect answer is worth \large -\frac{1}{2} . If he gets 33 questions correct and 20 questions incorrect, how many points does he have? Does he win? (yes or no)

Answers

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3[tex]\frac{1}{3}[/tex] * 33 = 110 points earned

[tex]\frac{1}{2}[/tex] * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

Convert the following from scientific notation to standard notation: 3.09X10^-2

Answers

309/100 x 1/10^2
309/100 x 1/100
309/10000
Hope this help!!!

You are playing a video game. For each diamond you collect, you earn 100 points. You also earn 75 bonus points by completing the level in less than 2 minutes. You need to earn more than 1575 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

The data that we have is:

For each diamond, you earn 100 points.

If you complete the level in less than 2 minutes, you earn a bonus of 75 points.

You want to earn more than 1575 points.

Now, assuming that you want to write and solve n inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Because you end in less than 2 minutes, then you have the bonus of 75 points.

Then the number of points as a function of d, the number of diamonds, is:

P(d) = 100*d + 75

And you want that:

P(d) > 1575

100*d + 75 > 1575

Now we can solve this for d.

100d > 1575 - 75

100d > 1500

d > 1500/100

d > 15

You must collect more than 15 diamonds.

Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?

Answers

.5 meters. 250 centimeters is 2.5 meters, 1250 millimeters is 1.25 meters, 1.25 + 3.75 + 2.5 = 7.5. Hope this helps!

Because it is given that <6 and <14 are congruent, and <10 and <15 are congruent. <14 is congruent to <15 , and <10 is congruent to <11 because of the
PART A:
vertical angles theorem?
alternate exterior angles theorem?
same side interior theorem?
PART B:
By the
Transitive Property
Reflective Property
Substitution Property
PART C:
Alternate Interior Angles
Corresponding Angles
Vertical Angles

Answers

Answer:

Did you ever figure it out? I need the answer :/

Step-by-step explanation:

plz help will mark brainlest if correct #7-8 plz

Answers

7)First expand brackets
4q + 8 -6
Then
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Given the function f(x) = 3x-7, which of the following represents f -1(x)?

Answers

-3x+7

Step-by-step explanation:

The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.

f -1(x)= -1(3x-7)

f -1(x)= -3x+7

The perimeter of an equilateral triangle is 96 inches. If the length of each side is (2x + 6), find the value of x.

Answers

An equilateral triangle has three equal sides. Let's try to first find the actual value of each side of the triangle!

1. Let's first find the length of each side of the triangle in inches based on the information we know!

96 inches is the perimeter of the triangle. The triangle has three equal sides. We can find the length of each side by dividing 96 inches by 3!

96 / 3 = 31 inches

The length of each side in the equilateral triangle is 31 inches.

2. Now, let's find x using the information we know!

We know that the length of each side is 2x + 6, and we previously found that the length of each side in the equilateral triangle is 31 inches. We are trying to find x, so we can create an equation and isolate x!

31 = 2x + 6

-6    -6

25 = 2x

÷2     ÷2

12.5 = x

Yay, we just found x! That's the answer! Feel free to ask any questions if you need help. I'm not here to judge; I'm here to help. :)

PLEASE HELP AGAIN ?! stuck :(

Write a compound inequality for the graph shown below. Use z for your variable.

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Answer:

wat happened to yoi

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