Question

Write the inverse of g(x) = e x

g -1(x) = _____.

Answer 1

The inverse of the function g(x) = eˣ is g^-1(x) = ln(x).

Step-by-step explanation:

The inverse of the function g(x) = eˣ can be found by setting y = g(x) and solving for x.

To find the inverse, we start by switching the roles of x and y. So, we have x = e^y.

Next, we isolate y by taking the natural logarithm (ln) of both sides, which yields ln(x) = y.

Therefore, the inverse of g(x) = eˣ is g^(-1)(x) = ln(x).