Question

The point (0.36, 2) lies on the graph of f(x)=log0.6x
. What is the corresponding point on the inverse graph g(x)=0.6x
?(1 point)
Responses

(-0.36, -2)
(-0.36, -2)

(2, 0.36)
(2, 0.36)

(0.36, -2)
(0.36, -2)

(-2, 0.36)

Answer 1

To find the corresponding point on the inverse graph of the function, we need to swap the coordinates of the point that lies on the original graph.

The point (0.36, 2) lies on the graph of \( f(x) = \log_{0.6}(x) \), so in the context of inverses, it means:

- \( f(0.36) = 2 \)

For the inverse function \( g(x) \), we swap \( x \) and \( y \) coordinates:

- This gives us the point \( (2, 0.36) \).

Thus, the corresponding point on the inverse graph \( g(x) \) is \( (2, 0.36) \).

So, the correct response is:

**(2, 0.36)**