Thurs Alg2 - Functions/Comp of Fx

Lesson on Operations/Composition of Functions

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.

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this graph a function or not a function? 

• Function
• Not a Function

​Now you try

​Try the following problems and see how you do. Good Luck!
Have a calculator ready.

Multiple Choice

Find f(2).

• -2

• -18

• 24

• 6

• 2

Multiple Choice

Find g(5)

• 3375

• 375

• 25

• 45

• none of these

Composition of Functions

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

Multiple Choice

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

• 16

• 4

• -4

• None of these.

• -16

Multiple Choice

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

• 19

• 23

• -10

• None of these.

• -19

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

Fill in the Blank

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

Fill in the Blank

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

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

• none of these

Fill in the Blank

(h - g)(2)

Multiple Choice

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Multiple Choice

$$Given\ f\left(x\right)\ =\ 2x^3\ and\ g\left(x\right)\ =\ \left(x^{2\ }-2x\ +\ 7\right),\ find\ fg\left(x\right)$$

• $$2x^5\ -\ 4x^4\ -\ 14$$

• $$2x^5-4x^3\ +\ 14x^3\$$

• $$2x^6-4x^3\ +\ 14x\$$

• $$2x^{5\ }\ -\ 4x^4\ +\ 14x^3$$

Multiple Choice

$$Given\ m(x)=2x+1\ and\ n(x)=3x+7,find\ m\circ n\left(0\right)$$

• 14

• 15

• 16

• 17

Poll

After this review and practice, I feel ----- about solving compositions of functions

• very good

• good

• ok/ iffy

• not confident

• other: my thoughts/feelings are not reflected here