Question

If f(x) = log3 x, find f - 1(x).

A. f - 1( x) = 3 x
B. f - 1( x) = x 3
C. f - 1( x) = 3 y"

Answer 1

The inverse of the function f(x) = log3 x is f - 1(x) = 3^x.

Step-by-step explanation:

The inverse of a function is another function that "undoes" the original function. In other words, if you apply the original function and then apply its inverse, you get back to where you started.

To find the inverse of the function f(x) = log3 x, we need to swap the x and y variables and solve for y. Let's do that:

Swap x and y: x = log3 y

Rewrite the equation in exponential form: 3^x = y

So, f - 1(x) = 3^x