It will be useful to remember the following transformations on functions:
The table uses the function x², but we can apply the concept to our case.
Now, for our question we have the following function:
[tex]f(x)=2^x[/tex]So, looking at the table, we see that a horizontally compress with factor a = 5 will produce the following function:
[tex]f(x)=2^{5x}[/tex]