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

g (x) = sqrt (x) + 3

Step-by-step 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:The graph of f (x - 3) is a horizontal shift of f (x) = x^3 three units to the right.