00:02
Given the function f, we want to find a few items here.
00:09
The first is f of a.
00:13
F of a is just replacing x with a in a function, so it's just 3a squared plus 2.
00:18
F of a plus h is replacing x with a plus h, so it's three times a plus h squared plus 2.
00:29
That would be equal to three times a plus h squared.
00:33
That's a plus h times a plus h.
00:35
Write it out if you need to.
00:37
That's a squared plus 2ah plus h squared.
00:41
It's a perfect square binomial plus two.
00:45
Distribute the three, you get 3a squared plus 6ah plus 3h squared plus 2.
00:51
And that is your f of a plus h.
00:54
And then the difference quotient...