Advanced Algebra Inverse Functions

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

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

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)

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

TRUE or FALSE?
If f(g(x)) = x, then f and g must absolutely be inverses of one another.

• TRUE
• FALSE

Determine f^-1(2) given the following:
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

• 1
• -1
• 2
• -2

If f and g are inverse functions, and
f(2) = -1     g(1) = -2     f(1) = -2, 
then which of the following MUST be true?

• g(-2) = -1
• g(2) = 1
• g(-2) = 1
• g(1) = 2

• TRUE
• FALSE

TRUE or FALSE
If f is a function with an inverse and f(a) = b, then f^-1(b) = a.

• TRUE
• FALSE

TRUE or FALSE
The inverse of f(x) = x³ is g(x) = ∛x

• TRUE
• FALSE