1. ## Re: Combinations of Functions

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?

2. ## 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.

3. ## Re: Combinations of Functions

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.

4. ## 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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