Inverse and Radical Functions

The inverse has been reflected over which line?

• y = x

• x = 0

• y = 0

• x = -y

If the graph of f(x) includes the points (5, -3), (2, 1), and (-4, -9), then what points will be on the graph of the INVERSE of f(x)?

• (-5, 3), (-2, -1), and (4, 9)

• (3, -5), (-1, -2), and (9, 4)

• (-3, 5), (1, 2), and (-4, -9)

• (-3, 5), (1, 2), and (-9, -4)

Find the inverse of the function including any restriction on domain

• f^-1 = (x + 3)² − 4, x ≥ −3

• f^-1 = (x − 4)² + 3,  x ≥ 4

• f^-1 = (x + 3)² − 4

• Inverse does not exist

• Subtract 6 from both sides

• Square both sides

• Subtract 94 from both sides

• Divide both sides by 5

• -6

• Divide both sides by 6

• 3

• Square root both sides

• 61.2

• -91.6

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

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

Which function represents the given graph?

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