### Concept (1)

Once we learn the definition of a function's inverse we learn how to find the algebraic inverse, or how to find the inverse using algebraic methods. There are different methods for finding the inverse, the most common of which is to switch the dependent and independent variables and solve for the dependent variable. This is an important step in learning how to prove the inverse of a function.

### Sample Problems (10)

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Find f⁻¹(x) given

f(x) = (x − 2)³
###### Problem 1
How to find the inverse of a function algebraically.

Find g⁻¹(x) given

g(x) = x² + 2
###### Problem 2
How to find the inverse of a function algebraically using a domain restriction.
###### Problem 3
How to find the inverse of a linear function.
###### Problem 4
How to solve the inverse of odd power functions.
###### Problem 5
How to find the inverse of linear functions in point-slope form.
###### Problem 6
How to find the inverse of non-linear functions.
###### Problem 7
How to find the inverse of even power functions.
###### Problem 8
How to find the inverse of a radical or root function by two methods.
###### Problem 9
How to find and write the inverse of exponential functions.
###### Problem 10
How to find and write the inverse of a logarithmic function.