what is the inverse of f(x)= - ( - 4x–8)^3

Question

I am struggling with a algebra 2 question

 

Answer 1

Let y = f(x) = -(-4x-8)³

 

Simplify to get y = (4x+8)³

 

Switch x and y:  x = (4y+8)³

 

Solve for y:  4y+8 = ³√x

 

                       4y = ³√x - 8

 

                         y = (³√x - 8)/4

 

f^-1(x) = (³√x - 8)/4