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lonelyhearttr · Oct 17, 2010, 02:10 PM

kpg0001 · Oct 17, 2010, 02:12 PM

Is that supposed to be 2x^2+3 and x+7? What do the 3 and seven do in each equation?

kpg0001 · Oct 17, 2010, 02:17 PM

Actually it doesn't matter, I'll just tell you what it means. g(f(x)) means you plug in the whole function f(x) into the variable in g(x). g(f(x))= (f(x)) then plus or minus 7. f(g(x))=2(g(x))^2 then plus or minus 3. Got it?

Unknown008 · Oct 18, 2010, 08:05 AM

I'll give an example.

Let:

$p(x) = 4x + 3$

$q(x) = \frac{1}{x}$

Then,

$q(p(x)) = q(4x+3) = \frac{1}{4x+3}$

$p(q(x)) = p(\frac{1}{x}) = 4(\frac{1}{x}) +3 = \frac{4}{x} + 3$

And kpg0001, I would suggest you make use of paragraphing when answering. I just read the other thread "Trigonometry and bearing' and blocks of text are not that easy to read. Thanks! :)