The functions \( f(x) = 30^x \) and \( g(x) = \log_{30}(x) \) are reflections of each other across the line \( y = x \); \( f(x) \) represents exponential growth, while \( g(x) \) represents logarithmic growth, indicating that one function is the inverse of the other. This relationship exemplifies how \( f(g(x)) = x \) and \( g(f(x)) = x \) for their respective domains.
In one to two sentences, describe the geometric relationship between f(x)=30^x and g(x)=log30x as it would be represented on a graph.
1 answer