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When finding the composition of functions, we want F of G of X.
So we're going to basically put the G of X equation into the F
equation every time we see the unknown.
So we're going to have 4 * X + 6 / 4 -, 6.
The four in the the four times the four in the denominator are
going to cancel.
So we'd get X + 6 -, 6 and the positive and -6 will cancel.
For the next part.
We want G of F of X.
So we're going to take the F of X equation that four X -, 6 and
we're going to put it in the G equation every time we see the
unknown.
So now the -6 and +6 are going to cancel and then the 4 / 4
will cancel, leaving us X when we want F of G of two.
We're going to stick 2 into the G equation.
So 2 + 6 / 4, that's 8 / 4 or two.
Then we're going to stick the two into the F equation 4 * 2 -,
6 eight minus six or two.
Now, if we looked at the fact that we had the F of G of X
equation above, we knew that the F of G of equation just gave us
out X.
So if we had stuck two straight into that composition, we would
have realized we'd get two out two different ways to do it.
We get the same answer either way.