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) =0.6x

1 answer

To find the corresponding point on the graph of g(x) = 0.6x when the point (0.36,2) lies on the graph of f(x) = log0.6x, we need to solve for x in the function f(x) = log0.6x when y = 2:

2 = log0.6(0.36)
2 = log(0.36)/log(0.6)
2 = -0.4445/ -0.2218
2 = 2

Therefore, x =0.36 would correspond to y=2 on the graph of g(x) = 0.6x. So, the point (0.36,2) on the graph of f(x) would correspond to the point (0.36,2) on the graph of g(x) = 0.6x.