To find the corresponding point on the graph of \( g(x) = 0.6^x \) based on the point \( (0.36, 2) \) that lies on the graph of \( f(x) = \log_{0.6}(x) \), we need to understand the relationship between these two functions.
From the properties of logarithms, if \( f(a) = b \) for \( f(x) = \log_{0.6}(x) \), then it follows that:
\[ 0.6^b = a \]
Given the point \( (0.36, 2) \), we have:
- \( b = 2 \)
- \( a = 0.36 \)
Thus, we can write:
\[ 0.6^2 = 0.36 \]
Now we want the corresponding point on the graph of \( g(x) \):
Using the relationship confirmed above, we know that \( g(2) = 0.6^2 = 0.36 \).
So the corresponding point on the graph of \( g(x) = 0.6^x \) is:
\[ (2, 0.36) \]
Thus, the correct response is:
(2, 0.36)