Which of the following statements is true about the graphs of f(x) = 1 and g(x) = f(5x)?

a)The graph of g(x) is less steep than the graph of f(x).
b)The graphs of g(x) and f(x) have the same slope.
c)The graphs of g(x) and f(x) have different y-intercepts.
d)The graph of g(x) is steeper than the graph of f(x).