Question

If you horizontally compress the exponential function f(x)2^x by a factor of 5, whats the answer?

Answer 1

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:

`f(x)=2^x`

So, looking at the table, we see that a horizontally compress with factor a = 5 will produce the following function:

`f(x)=2^(5x)`