Given f ( x ) = 4 x − 4 f\left(x\right)=\sqrt{4x-4} f ( x ) = 4 x − 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> and g ( x ) = 3 x + 1 g\left(x\right)=3x+1 g ( x ) = 3 x + 1 , find ( f ∘ g ) ( 3 ) \left(f\circ g\right)\left(3\right) ( f ∘ g ) ( 3 ) in simplest form.

2 2 2\sqrt{2} 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

34 \sqrt{34} 3 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Composite Functions

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1C

Standards-aligned

Yan Liu

Used 22+ times

FREE Resource

12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

$15+16x$

$31+20x$

$22+20x$

$42+25x$

Tags

CCSS.HSF-BF.A.1C

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(g\circ g\right)\left(x\right)$ in simplest form.

$15+16x$

$31+20x$

$22+20x$

$42+25x$

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

$15+16x$

$31+20x$

$22+20x$

$42+25x$

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ f\right)\left(x\right)$ in simplest form.

$42+25x$

$31+20x$

$22+20x$

$15+16x$

Tags

CCSS.HSF-BF.A.1C

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ f\right)\left(1\right)$ in simplest form.

$31$

$51$

$42$

$67$

Tags

CCSS.HSF-BF.A.1C

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

$3x^2+12$

$3x^2-6$

$3x^2+6$

$3x^2-12$

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

$9x^2-36x$

$9x^2+42$

$9x^2+36x-42$

$9x^2-36+40$

Tags

CCSS.HSF-BF.A.1C

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Bell Work 1/21

Quiz

•

7th Grade - University

12 questions

Trigonometric Identity

Quiz

•

11th Grade

10 questions

Logarithme néperien

Quiz

•

10th - 12th Grade

10 questions

Ulangan Harian Bab 1

Quiz

•

11th Grade

14 questions

Geometric and Binomial Random Variable

Quiz

•

11th Grade

14 questions

Elektromagnetika Dasar (PGD)

Quiz

•

11th Grade

15 questions

Toán 7: Bài 20.2 Tỉ Lệ Thức và Dãy Tỉ Số Bằng Nhau DVL 7

Quiz

•

7th Grade - University

17 questions

Week 13 MCQ Madness

Quiz

•

9th - 12th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

Discover more resources for Mathematics

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade

15 questions

Identify Triangle Congruence Postulates

Quiz

•

9th - 12th Grade

12 questions

Combine Like Terms

Quiz

•

6th - 12th Grade

20 questions

Multi-Step Equations and Variables on Both Sides

Quiz

•

9th - 12th Grade

20 questions

Multiplication and Division Facts

Quiz

•

3rd - 12th Grade

30 questions

Unit 1 Final Review

Quiz

•

9th - 12th Grade

17 questions

Triangle Congruence Theorems

Quiz

•

9th - 11th Grade

Composite Functions

12 questions

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(g\circ g\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ f\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ f\right)\left(1\right)$ in simplest form.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(-1\right)$

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(f\circ f\right)\left(2\right)$

Given $f\left(x\right)=\sqrt{4x-4}$ and $g\left(x\right)=3x+1$ , find $\left(g\circ g\right)\left(x\right)$ in simplest form.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Composite Functions

12 questions

Given f(x)=5x+7f\left(x\right)=5x+7f(x)=5x+7 and g(x)=3+4xg\left(x\right)=3+4xg(x)=3+4x , find (f∘g)(x)\left(f\circ g\right)\left(x\right)(f∘g)(x) in simplest form.

Given f(x)=5x+7f\left(x\right)=5x+7f(x)=5x+7 and g(x)=3+4xg\left(x\right)=3+4xg(x)=3+4x , find (g∘g)(x)\left(g\circ g\right)\left(x\right)(g∘g)(x) in simplest form.

Given f(x)=5x+7f\left(x\right)=5x+7f(x)=5x+7 and g(x)=3+4xg\left(x\right)=3+4xg(x)=3+4x , find (g∘f)(x)\left(g\circ f\right)\left(x\right)(g∘f)(x) in simplest form.

Given f(x)=5x+7f\left(x\right)=5x+7f(x)=5x+7 and g(x)=3+4xg\left(x\right)=3+4xg(x)=3+4x , find (f∘f)(x)\left(f\circ f\right)\left(x\right)(f∘f)(x) in simplest form.

Given f(x)=5x+7f\left(x\right)=5x+7f(x)=5x+7 and g(x)=3+4xg\left(x\right)=3+4xg(x)=3+4x , find (f∘f)(1)\left(f\circ f\right)\left(1\right)(f∘f)(1) in simplest form.

Given f(x)=3x−6f\left(x\right)=3x-6f(x)=3x−6 and g(x)=x2+4g\left(x\right)=x^2+4g(x)=x2+4 , find (f∘g)(x)\left(f\circ g\right)\left(x\right)(f∘g)(x) in simplest form.

Given f(x)=3x−6f\left(x\right)=3x-6f(x)=3x−6 and g(x)=x2+4g\left(x\right)=x^2+4g(x)=x2+4 , find (g∘f)(x)\left(g\circ f\right)\left(x\right)(g∘f)(x) in simplest form.

Given f(x)=3x−6f\left(x\right)=3x-6f(x)=3x−6 and g(x)=x2+4g\left(x\right)=x^2+4g(x)=x2+4 , find (g∘f)(−1)\left(g\circ f\right)\left(-1\right)(g∘f)(−1)

Given f(x)=3x−6f\left(x\right)=3x-6f(x)=3x−6 and g(x)=x2+4g\left(x\right)=x^2+4g(x)=x2+4 , find (f∘f)(2)\left(f\circ f\right)\left(2\right)(f∘f)(2)

Given f(x)=4x−4f\left(x\right)=\sqrt{4x-4}f(x)=4x−4​ and g(x)=3x+1g\left(x\right)=3x+1g(x)=3x+1 , find (g∘g)(x)\left(g\circ g\right)\left(x\right)(g∘g)(x) in simplest form.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(g\circ g\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ f\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=5x+7$ and $g\left(x\right)=3+4x$ , find $\left(f\circ f\right)\left(1\right)$ in simplest form.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(f\circ g\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(-1\right)$

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(f\circ f\right)\left(2\right)$

Given $f\left(x\right)=\sqrt{4x-4}$ and $g\left(x\right)=3x+1$ , find $\left(g\circ g\right)\left(x\right)$ in simplest form.