Question

Find the inverse of the function.

f(x) = x3 - 3

Answer 1

To find the inverse of the function f(x) = x³ - 3, swap the x and y variables and solve for y using the necessary steps.

Step-by-step explanation:

To find the inverse of the function f(x) = x³ - 3, we need to swap the x and y variables and solve for y.

Start by replacing f(x) with y: y = x³ - 3.

Then, swap x and y: x = y³ - 3.

Next, solve for y by rearranging the equation:

y³ = x + 3

y = (x + 3)^(1/3)

Therefore, the inverse function is f^(-1)(x) = (x + 3)^(1/3).

Answer 2

f(x) = x^3 - 3

x^3 = f(x) + 3

x = cube root ( f^x + 3)