Solve for inverse function

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HSF.BF.B.4.a

**HSF.BF.B.4.a**: Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) = 2x^3 or f(x) = (x+1)/(x-1) for x != 1.

HSF.BF.B.4.a: Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) = 2x^3 or f(x) = (x+1)/(x-1) for x != 1.

What you'll learn

Solve f(x) = c for x, where f is a simple invertible function, by algebraically isolating x
Use the "swap x and y, then solve for y" method to find the inverse function algebraically
Find inverse functions for linear functions (f(x) = ax + b)
Find inverse functions for simple power functions (f(x) = x^3, f(x) = x^2 with restricted domain)
Find inverse functions for simple rational functions (f(x) = (x+a)/(x+b))
Verify the inverse by checking f(f^-^1(x)) = x

Review first:

Understand function definition

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Solving for inverse functions

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Exercise

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