SOLUTION: Suppose f(x)=(x/8)-3 and g(x)=x^3. Find (f o g)^-1(x)

First we find fog(x) by substituting the right side of
g(x) for x in f(x):







Now we find the inverse of fog(x), or fog-1(x):

Substitute y for fog(x)



Swap x and y



Solve for y.

Multiply both sides by 8



Add 24 to both sides:





Take cube roots of both sides:



Replace y by fog-1(x)

fog-1(x)

Edwin