I was stuck on this too, but I think the reason is that (t-2)^2 = (t-2)(t-2) . Using the distributive property, you get t^2-4t+4.

It doesn't really matter --- they will both give the same answer, so it's up to you to choose what works best/easiest for you with the problem you'...

h(g(x)) = (x+4)^2 - 2(x+4) Basically each "x" in h(x) gets replaced with (x+4), which if g(x). Then, you simplify. 1) FOIL out (x+4)^2: h(g(x)) = x...

Based upon the rules for dividing with fractions: f/g = (1/x) / g = (1/x) * the reciprocal of g We need to work in reverse 1) Factor denominator to...

It comes from (t-2)^2 (t-2)^2 = (t-2)(t-2) = t^2-2t-2t+4 = t^2-4t+4 To square binomials, you need to use FOIL or the pattern for creating a perfect...

I assume you are asking about the first example on the page. The initial problem statement gives you the equations for f(x) and g(x). It then asks...

(f ∘ g)(x) is read "f of g of x", so the ∘ translates to "of". In this case, if you had functions defined, f(x) and g(x), then to get (f ∘ g)(x) yo...

The challenge problem says, "The graphs of the equations y=f(x) and y=g(x) are shown in the grid below." So basically the two graphs is a visual re...

I don't think their aim is to show you the multiple ways you can evaluate the composite function. The first example they basically show what evalua...

Sometimes it's useful to look at a different point of view. Try this site. Then come back and try this video again. http://www.mathsisfun.com/sets/...