The point (0.36,2) lies on the graph of f(x)=log0.6 x (0.6 is the base of x). What is the corresponding point on the graph g(x)=0.6^x?
- (-0.36,-2)
- (-2,0.36)
- (0.36,-2)
- (2,0.36)
To find the corresponding point on the graph of g(x)=0.6^x, we need to first convert the given point (0.36, 2) on the graph of f(x)=log0.6 x to the exponential form.
From the equation f(x)=log0.6 x, we have:
0.6^2 = 0.36
Therefore, the corresponding point in exponential form is (2, 0.36).
Therefore, the corresponding point on the graph of g(x)=0.6^x is (2, 0.36).
So, the correct option is:
- (2, 0.36)