f(x)=30^x and g(x)=log (base 30) x are inverses of each other. Therefore the graph of g(x) is a reflection of f(x) over the line y=1. True or false.
True.
The graph of f(x)=30^x is an exponential growth curve that passes through the point (0,1) and increases rapidly as x increases.
The graph of g(x)=log(base 30) x is a logarithmic growth curve that is a reflection of the exponential curve over the line y=1. As x increases, the values of g(x) increase much more slowly than the corresponding values of f(x), reflecting the inverse relationship between the functions.