In one to two sentences, describe the geometric relationship between f(x)=30x

Question

and g(x)=log30x
as it would be represented on a graph.

Answer 1

The graph of \( f(x) = 30x \) is a linear function that increases steeply, while the graph of \( g(x) = \log_{30}(x) \) is a logarithmic function that increases slowly and approaches infinity but never reaches it; together, these functions illustrate an inverse relationship, where \( g(x) \) is the inverse of \( f(x) \).