Composition of Functions

Composition of Functions

I can find the composition of two functions.

Multiple Choice

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

• 19

• 23

• -10

• None of these.

Multiple Choice

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

• 2

• 15

• 7

• -9

Multiple Choice

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

• 34

• 71

• 35

• 142

Multiple Choice

If  $f\left(x\right)=\frac{1}{x}$   and  $g\left(x\right)=3x+2$   find  $\left(f\circ g\right)\left(2\right)$  

•  $\frac{1}{4}$  

•  $\frac{1}{8}$  

•  $\frac{7}{2}$  

• 8

Multiple Choice

f(1) =

• -1

• 1

• 2

• -2

Multiple Choice

Given f and g in the graph,

what is (f ° g)(-1) ?

• 1

• 4

• -1

• 6

Multiple Choice

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

Fill in the Blank

f(h(-4)) =

Fill in the Blank

f(g(5)) =

Fill in the Blank

f(g(3)) =

Fill in the Blank

h(f(-2)) =

Fill in the Blank

f(f(0)) =