2.7 Composition of Functions Lesson Slides: 4 Slides

4 Slides • 7 Questions

1

Unit 2: Functions and their Graphs

2.7 Composition of Functions

Remember to date and title your name.

2

Vocabulary

3

Draw

Show your work and your answer on the screen below.

4

Multiple Choice

1

$\left(h\circ g\right)\left(x\right)=2x$

2

$\left(h\circ g\right)\left(x\right)=\frac{1}{2x}$

3

$\left(h\circ g\right)\left(x\right)=\frac{2x}{x}$

4

$\left(h\circ g\right)\left(x\right)=\frac{1}{x}$

5

Multiple Choice

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(x\right)\right)$

1

$4x^2-1$

2

$4x^2-2$

3

$8x^2-1$

4

$16x^2-1$

6

Multiple Choice

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ f\right)\left(x\right)$

1

$\frac{1}{3x}+2$

2

$3x+2$

3

$\frac{3}{x}+2$

4

$\frac{1}{3x+2}$

7

Multiple Choice

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $f\left(g\left(x\right)\right)$

1

$\frac{1}{3x}+2$

2

$3x+2$

3

$\frac{3}{x}+2$

4

$\frac{1}{3x+2}$

8

9

Multiple Choice

If $f\left(x\right)=x^2$ and $g\left(x\right)=\frac{1}{x^2}$ find $\left(f\circ g\right)\left(-1\right)$

1

$\frac{1}{4}$

2

$1$

3

$-1$

4

$-\frac{1}{4}$

10

The domain of the composite function is

the domain of g such that g(x) in the domain of f.

https://www.desmos.com/calculator/0jwb7onjrb

11

Open Ended

What will be the domain of the function $\left(f\circ g\right)\left(x\right)$ if $f\left(x\right)=3x^2$ and $g\left(x\right)=\frac{1}{x}$ ?

Type response here

Unit 2: Functions and their Graphs

2.7 Composition of Functions

Remember to date and title your name.

Show answer

Auto Play

Slide 1 / 11

SLIDE

Similar Resources on Wayground

8 questions

Cereal Sweet 16

Presentation

•

12th Grade

8 questions

Arithmetic Sequence/Sum

Presentation

•

12th Grade

7 questions

Statistics _ Frequency

Presentation

•

12th Grade

8 questions

Operation of Fraction

Presentation

•

12th Grade

8 questions

Concavity and Points of Inflection

Presentation

•

12th Grade

6 questions

Algebra - Lesson Inequality Word Problems

Presentation

•

12th Grade

10 questions

Compound and Simple Interest

Presentation

•

12th Grade

9 questions

Algebra - Lesson Simplify Square Roots with Variables 2

Presentation

•

12th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade

17 questions

Identifying Parallel And Perpendicular Lines

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

14 questions

Evaluate Linear Functions and Their Applications

Quiz

•

9th - 12th Grade

16 questions

Algebra 1 Unit 2: Functions & Relations

Quiz

•

9th - 12th Grade