Let f(x)=5−8x+15x^2. calculate the following values:
f(a)=
f(a+h)=
f(a+h)−f(a)/h= for h≠0

Step-by-step explanation:

We are given .

We want to find so we just replace the x there with a giving us:

.

We want to find so we just replace x with (a+h) now giving us:

.

We will need to distribute and multiply things out here for later use so let's go ahead and do that:

We want to find where h is not 0.

This requires the parts we found above:

There are some thing that will zero out (cancel out) in the numerator.

You have 5-8a+15a^2 in both parenthesis and you are subtracting so that part zero's out so you have this now:

Now you can divide h from top and bottom giving you: