n one to two sentences, describe the geometric relationship between f(x)=30x and g(x)=log(30x) as it would be represented on a graph.

Answer 1

The graph of \( f(x) = 30x \) is a straight line that passes through the origin with a positive slope, while the graph of \( g(x) = \log(30x) \) represents a logarithmic curve that rises quickly at first and then levels off, intersecting the line at the point where \( 30x = 1 \) (i.e., at \( x = \frac{1}{30} \)). As \( x \) increases, \( f(x) \) grows linearly, while \( g(x) \) continues to increase but at a decreasing rate.