Question

Find the inverse of the function. y=(x–9)3 Write your answer in the form a3 bx+c+d, where a, b, c, and d are constants. Simplify any fractions. y=

Answer 1

Start with y = (x − 9)^3. Swap x and y and solve for y:

x = (y − 9)^3
y − 9 = ∛x
y = ∛x + 9

So the inverse is y = ∛x + 9 (i.e. a = 1, b = 1, c = 0, d = 9).