Inverse Functions Exponential

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

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composition

Determine if the set of ordered pairs is a one-to-one function.

• yes

• no

The inverse of the function f(x) is written as ...

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

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Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

What is the inverse of f(x)=5^x+3?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

Which equation is the inverse of the equation above?

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Maya and Jackson are having a debate. Maya says a logarithmic function is the inverse of an exponential function, while Jackson disagrees. Who is correct?

• Maya

• Jackson

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

• True

• False