review - composite/inverse functions

Find f(h(5)) based on the graphs of f(x) and g(x)

• -6
• -3
• 6
• 2

Tags

CCSS.HSF-BF.A.1C

The composition of any function, f(x), and
its inverse, f^-1(x) = 

• x
• f(x)
• 1
• 0

Tags

CCSS.HSF-BF.B.4B

You can find a function's inverse algebraically by

• Replacing each x with y, and each y with x
• Evaluating f(x) for x = 0
• Setting f(x) = 0 and
  then solving for x
• Replacing each x with its best friend

Find the domain of f(x).

• (-3, ∞)
• [-3, ∞)
• (3, ∞)
• [3, ∞)

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

What is the equation that the inverse will reflect across?

• y = x
• y = 0
• x = 0
• Potato

Tags

CCSS.HSF-BF.B.4B

If f(4) = 5, then f^-1(5) = ?

• 4
• -5
• 5
• -4

Tags

CCSS.HSF-BF.B.4C

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Tags

CCSS.HSF-BF.B.4A

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