Finding an Inverse Algebraically - Concept

Concept 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 Sample Problems (10)

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Finding an Inverse Algebraically - Problem 1

Find f⁻¹(x) given

f(x) = (x − 2)³
Problem 1
How to find the inverse of a function algebraically.
Finding an Inverse Algebraically - Problem 2

Find g⁻¹(x) given

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