Search Header Logo
  1. Resource Library
  2. Math
  3. Functions Operations
  4. Function Composition
  5. Function Composition Notes And Examples
Function Composition Notes and examples

Function Composition Notes and examples

Assessment

Presentation

Mathematics

9th Grade

Medium

CCSS
HSF-BF.A.1C

Standards-aligned

Created by

Susan Price

Used 8+ times

FREE Resource

10 Slides • 8 Questions

1

Composition of Functions

"plug in a function into another function"

media

2

Multiple Choice

What does

f(g(x))f\left(g\left(x\right)\right)  mean?

1

To plug in g(x) into f(x)

2

To plug in f(x) into g(x)

3

Multiple Choice

What does

g(f(x))g\left(f\left(x\right)\right)  mean?

1

To plug in g(x) into f(x)

2

To plug in f(x) into g(x)

4

Function Notation:

Plugging in a Number

Substitute the number/expression inside the parentheses in for x

media

5

media

6

media

7

Multiple Choice

Question image

find

fgf\circ g  

1

4x-3

2

4x+1

3

4x+3

8

media

9

Multiple Choice

Question image

find

gfg\circ f  

1

4x-1

2

4x-2

3

4x+3

10

media

11

Multiple Choice

If f(x)=2xf\left(x\right)=2x   and  g(x)=2x21g\left(x\right)=2x^2-1   find g(f(1))g\left(f\left(-1\right)\right)  

1

2

2

15

3

7

4

-9

12

media

13

Function Composition of Variables

  • Work from the inside out

  • Rather than solving for a number, you are replacing a variable with another function

  • It sounds harder than it is, but it will look dumb, so be prepared for that

14

media

15

media

16

Multiple Choice

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

1

19

2

23

3

-10

4

None of these.

17

Multiple Choice

If f(x)=2xf\left(x\right)=2x   and  g(x)=2x21g\left(x\right)=2x^2-1   find g(f(1))g\left(f\left(-1\right)\right)  

1

2

2

15

3

7

4

-9

18

Multiple Choice

If f(x)=2xf\left(x\right)=2x   and  g(x)=2x21g\left(x\right)=2x^2-1   find f(g(3))f\left(g\left(3\right)\right)  

1

34

2

71

3

35

4

142

Composition of Functions

"plug in a function into another function"

media

Show answer

Auto Play

Slide 1 / 18

SLIDE