Question

Find the inverse of Each of each function f(x)=(x+3)³

Answer 1

Answer:

Find the inverse function, its domain and range, of the function given by

f(x) = 3√(2 x - 1)

Solution to example 1

The domain D and range R of the given function are given by:

D: (- ∞ , + ∞) and R: (- ∞ , + ∞)

In order to find the inverse, we first write the function as an equation as follows

y = 3√(2 x - 1)

Then solve it starting by cubing both sides

y 3 = ( 3√(2 x - 1) ) 3