Function Composition Numbers

Find h(g(n))

• 4n² - 4n - 2

• 4n² - 4n + 2

• 4n² + 2

• 4n² - 4n

Find g(5)

• 3375

• 375

• 25

• 45

g(4x)

• 1728x³

• 12x³

• 192x³

• 36x³

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

f(a) = a² + a - 3
g(a) = 3a
Find f(g(a))

• 9a² - 3a + 3

• 9a² + 3a - 3

• 3a² - 3a + 3

• 3a² + 3a - 3

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

• 35/4

• 13/4

• 17/2

• None of the Above

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

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Given p(x) = x² + 1 q(x) = 5x Perform each composition and match it to its value.

• 26

• (q ∘ p)(1)

• 101

• (q ∘ p)(-2)

• 10

• (p ∘ q)(1)

• 25

• (p ∘ q)(-2)

A combination of two functions such that the output from the first function becomes the input for the second.

• Range

• Domain

• Function

• Composition