Question

Find the inverse of the function, f(x)=5(x-4)^3 +6
trade x and y

Answer 1

y=[(x-6)/5]^(1/3)+4

Explanation:

f(x)=5(x-4)^3 +6

trade x and y

x=5(y-4)^3 +6

x-6=5(y-4)^3

(x-6)/5=(y-4)^3

[(x-6)/5]^(1/3)=y-4

y=[(x-6)/5]^(1/3)+4