Lesson on Operations/Composition of Functions

Lesson on Operations/Composition of Functions

by Jesus Molina

​Evaluating Functions

​Last week you all explored evaluating Functions. That looked like the image on the side.

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Operations of Functions

​This week we will go over Operations of Functions and Composition of Functions. The following video starts with a review from last week and the notes for operations of functions.

Composition of Functions

​The following video shows how to solve Composition of Functions.

​Now you try

​Try the following problems and see how you do. Good Luck!

Multiple Choice

Find f(2).

• -2

• -18

• 24

• 6

Multiple Choice

Find g(5)

• 3375

• 375

• 25

• 45

Multiple Choice

f(x) = 3x + 10 g(x) = x - 2 Find f(g(0))

• 16

• 4

• -4

• None of these.

Multiple Choice

f(x) = 3x + 10 g(x) = x - 2 Find f(g(5))

• 19

• 23

• -10

• None of these.

Multiple Choice

Find $$\left(f-g\right)\left(2\right)$$  

• -26

• -18

• 22

• 8

Multiple Choice

Find $$\left(f\cdot g\right)\left(-2\right)$$  

• 3375

• -432

• -205

• 450

Multiple Choice

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39

• -27

• -23

• -19

Multiple Choice

f(x) = 3x + 10 g(x) = x - 2 Find f(g(5))

• 19

• 23

• -10

• None of these.

Multiple Choice

f(x) = 3x + 10 g(x) = x - 2 Find g(f(-10))

• -42

• -26

• -18

• None of these.

Multiple Choice

Find (f ⋅ g)(3)

• 88

• 0

• 66

• 154

Multiple Choice

(h - g)(2)

• 0

• 1

• 7

• 9