Function Composition Review

Function Composition Review

Function Composition (Equations)

Remember to always change

 $\left(f\circ\ g\right)\ =x$  to  $f\left(g\left(x\right)\right)$  

Multiple Choice

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

• 19

• 23

• -10

• None of these.

Multiple Choice

p(x) = 3x + 4

q(x) = 2x²

Find p(q(x))

• 10x²

• 18x² + 4

• 6x² + 4

Multiple Choice

f(x)=x²-4

h(x)=3x+3

f(h(x))

• 3x²-9

• 12x²+8x+5

• 16x²-36x+20

• 9x²+18x+5

Watch the following video if you missed any of the previous problems.

(Equations)

Function Composition (Tables and Graphs)

Multiple Choice

• 6

• 8

• 15

• None of the Above

Multiple Choice

• 3

• 1

• 4

• None of the Above

Watch the following video if you missed the previous 2 problems

(Tables)

Multiple Choice

(g○f)(0)

• -5

• -3

• 0

• 1

Multiple Choice

(f○g)(1) =

• -5

• -3

• 0

• 1

Watch the following video if you missed the previous 2 problems.

(Graphs)