00:01
In this problem, we're given f of x equals 2x2x2 plus 3, and we're asked to find f of x plus 3, as x plus 3 is now the input for that part of the evaluation, and we want to subtract the function f of x and then plus 3.
00:12
So there's a few different ways you could set this up, but the way we're going to work it is find f of x plus 3, and then find f of x, close parentheses, plus 3, and then we'll do the difference of subtracting after we find it.
00:23
So f of x equals 2x squared plus 3 is now going to evaluate at f of x plus 3, which means the input of this function is now going to be this entire binomial.
00:32
So this x will be replaced with x plus 3 squared and then plus 3.
00:38
And then we'll evaluate and we'll follow order of operation.
00:40
So we can't do anything with the parentheses because we don't know what x is.
00:43
X plus 3 squared evaluates to x squared plus 6x plus 9 plus 3.
00:51
And then we need to distribute the 2 first...