Lesson Plan

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

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.