Operations of Functions Lesson Slides: 7 Slides

7 Slides • 3 Questions

1

Operations of Functions

By Kayley Fuller

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Operations of Functions

Addition of Functions

f(x)=3x+1 g(x)=4x-10

f(x)+g(x)= (f +g)(x)= (3x+1) + (4x-10) = 7x-9

Combine all like terms!

3

Operations of Functions

Subtraction of Functions

f(x)=3x+1 g(x)=4x-10

f(x)-g(x)= (f -g)(x)= (3x+1) - (4x-10) = 3x+1 -4x +10= -x+11

Distribute the negative through g(x), and combine like terms

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Operations of Functions

Multiplicaiton of Functions

Use a box or FOIL, and combine like terms

5

Multiple Choice

When adding functions, select what best describes what you do.

1

FOIL

2

distribute the negative sign

3

combine like terms

4

you can't

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Multiple Choice

$f\left(x\right)=4x+1$ and $g\left(x\right)=12x^2-10x+1$ .

Find $f\left(x\right)+g\left(x\right)$

1

$12x^2-6x+2$

2

$12x^2-14x+2$

3

$12x^2+14x+2$

4

$12x^2+6x+2$

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Multiple Choice

$f\left(x\right)=3x^2-10x+1$ and $g\left(x\right)=x^{2\ }-9x+1$

Find $\left(f-g\right)\left(x\right)$

1

$4x^2+8x-1$

2

$2x^2-x$

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Operations of Functions

Composition of Functions

A composition function is going to be a function within another function.

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Composition of Functions Video

Click on the link above

https://www.youtube.com/watch?v=Clsaq_GytpA

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Operations of Functions

Steps for Composite functions:

1) substitute input function into outside function

2) Replace x with input function

3) fully simplify

Find f(g(x)):

Operations of Functions

By Kayley Fuller

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