Question

What is the inverse function of f(x) = x3 + 5? A) f(x)-1 = 15 x B) f(x)-1 = x - 5 3 C) f(x)-1 = x - 5 D) f(x)-1 = x + 5

Answer 1

The inverse is (x-5) ^ 1/3

Explanation:

f(x) = x^3 + 5

y = x^3+5

Exchange x and y and solve for y

x= y^3+5

Subtract 5 from each side

x-5 = y^3+5-5

x-5 = y^3

Take the cube root of each side

(x-5) ^1/3 = y^3 ^1/3

(x-5) ^ 1/3 = y

The inverse is (x-5) ^ 1/3