Composition and Inverse of Functions

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4

• 18x² + 48x + 32

• 18x² + 32

• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• -42

• -26

• -18

• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = (x-1)²

g(x) = 3x+4

h(x) = 3x-1

Find f(g(h(3)))

• 8

• 28

• 729

• 54

Tags

CCSS.HSF-BF.A.1C

are these inverse functions?

• no

• yes

• no way to tell

Tags

CCSS.HSF-BF.B.4C

Which graph is the inverse of the graph shown?

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If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Tags

CCSS.HSF-BF.A.1C

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

If f(x)=x+5, what is f^-1(x)?

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -3x²+5

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Tags

CCSS.HSF-BF.B.4D