Question

What is the inverse function of f(x)=(x-3)3

Answer 1

g(x)=sqrt(x)+3

Explanation:

Functions are inverses of each other when f(g(x))=x and g(f(x))=x as well.

f(x)=(x-3)^2

Change f(x) to y

y=(x-3)^2

Switch the x and y

x=(y-3)^2

Solve for y

sqrt(x)+3=y

Change y to g(x)

sqrt(x)+3=g(x)

Answer 2

Answer:The graph of f(x − 3) is a horizontal shift of f(x) = x^3 three units to the right.

Explanation: