The graph of f(x)=2^x is given below. Write the equation of a function g(x) which would stretch the graph of f(x) horizontally by a factor of 5.
To horizontally stretch the graph of f(x)=2^x by a factor of 5, we need to divide the input of the original function by 5. This can be achieved by introducing a new variable, let's say u, and defining g(x) as:
g(x) = f(x/5) = 2^(x/5)
Therefore, the equation of the function g(x) that stretches the graph of f(x)=2^x horizontally by a factor of 5 is g(x) = 2^(x/5).