Algebra Inverse of Function

This is f(x).

Which graph appears to be the inverse of f(x)?

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What is the name of the parent function and equation for the graph?

• Cube Root - y = ∛x

• Cubic - y = x³

• Exponential - y = 2^x

• Rational/Inverse - y = 1/x

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

Find the inverse 
f(x)= x⁴ - 2

• ∜(x+2)

• (x+2)⁴

• -1+2x⁴

• ∜2x

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

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

• f^-1(x) = 1/4x + 7/4

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses

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

• True

• False

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

What does an inverse function do?

• Nothing

• Makes it bigger

• Does the opposite of the original function