Question

the point (0.36, 2) lies on the graph of $f(x) = \log_{0.6} x$. what is the corresponding point on the graph of $g(x) = 0.6^{x}$(the inverse)? (5 points)○ (-2, 0.36)○ (2, 0.36)○ (0.36, -2)○ (-0.36, -2)

Explanation:

Step1: Recall inverse function point rule

For inverse functions, if $(a,b)$ is on $f(x)$, then $(b,a)$ is on its inverse $g(x)$.

Step2: Apply rule to given point

Given point $(0.36, 2)$ on $f(x)$, swap coordinates.

Answer:

B. (2, 0.36)