# Combinations of Functions

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• Oct 1st 2011, 01:40 PM
Plato
Re: Combinations of Functions
Quote:

Originally Posted by BobRoss
Now I'm still fairly confused for the first question and don't know where to begin with it.

Does that \$\displaystyle h(x)\$ work?
If so, why does it work? How does it work?
• Oct 1st 2011, 01:54 PM
BobRoss
Re: Combinations of Functions
Well when I input that \$\displaystyle h(x)\$ into \$\displaystyle g(h(x))\$, the answer is equal to the given \$\displaystyle f(x)\$, so it does work. I'm not sure how you got that \$\displaystyle h(x)\$ though.
• Oct 1st 2011, 02:01 PM
Plato
Re: Combinations of Functions
Quote:

Originally Posted by BobRoss
Well when I input that \$\displaystyle h(x)\$ into \$\displaystyle g(h(x))\$, the answer is equal to the given \$\displaystyle f(x)\$, so it does work. I'm not sure how you got that \$\displaystyle h(x)\$ though.

I looked at it. I saw what was needed.
That's how I got it. It really is that simple.
• Oct 1st 2011, 02:06 PM
BobRoss
Re: Combinations of Functions
Okay I think I've got it now. So I just need to look at the given values and decide what value of \$\displaystyle h(x)\$ will give me \$\displaystyle f(x)\$ when combined with \$\displaystyle g(x)\$? Thank you very much, you've been a huge help!
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