Inverse Functions, Function Operations, Solving for Radicals

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5

• f^-1(x)=(x+5)/3

• f^-1(x)=3y-5

• f^-1(x)=3y+5

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

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

• True

• False

Was the inverse function found correctly?

• no,

• yes

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

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

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

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

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

• Inverse Functions
• Not Inverse Functions