Question

the range of function f is the positive real numbers. the function g is given by g(x) = ln(f(x)). solutions to which of the following equations are useful in solving g(x) = 2 ? a f(x) = 2 b f(x) = e² c f(x) = 10² d f(x) = 2/ln x

Explanation:

Step1: Substitute \( g(x) \) definition

\( \ln(f(x)) = 2 \)

Step2: Exponentiate both sides

\( f(x) = e^2 \) (since \( e^{\ln(y)} = y \))

Answer:

B. \( f(x) = e^2 \)