Function Combination Composition

Composite Functions Can be written two ways

Function Composition

Multiple Choice

Which expression represents g(f(x)) if

f(x) = 2x - 8 and

g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Multiple Choice

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Multiple Choice

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x²+31
• g(f(x))= -6x²+24
• g(f(x))=18x²-84x+90
• g(f(x))=9x²-42x-41

Multiple Choice

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

• 16
• 4
• -4
• None of these.

Multiple Choice

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

Multiple Choice

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14
• 20
• 6
• 7

Multiple Choice

Given $$f\left(x\right)=\sqrt{4x-4}$$  and  $$g\left(x\right)=3x+1$$ , find  $$\left(g\circ f\right)\left(1\right)$$  in simplest form.

• undefined

• -1

• 0

• 1