suppose that f(x) = g(h(x) ). Find possible formulas for g(x) and h(x) (There may be more than one possible answer. Assume g(x) does not equal x and h(x) does not equal x.
f(x) = 1/x2 + 8x + 16

Question

suppose that f(x) = g(h(x) ). Find possible formulas for g(x) and h(x) (There may be more than one possible answer. Assume g(x) does not equal x and h(x) does not equal x.
 f(x) =	1/x2 + 8x + 16

zepdrix · Answer

$$g(x)=\frac{ 1 }{ x }$$$$h(x)=x^2+8x+16$$

Here is one possibility. Understand how I did that? We'll end up sticking the function h(x) into the x slot of g(x).

zepdrix · Answer

$$f(x)=\frac{ 1 }{ x^2+8x+16 }$$
Hopefully I was reading your f(x) correctly. It should look like this right? :o

anonymous · Answer

can you explain how to decide what goes with h(x) and which one goes with g(x)? is there some sort of formula or equation I can use to help me understand how formulas are derived.

zepdrix · Answer

hmm

zepdrix · Answer

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I'm not sure that this answers your question :( But it's just another example. Another way to think about the ARGUMENT of a function. x being the default argument in g(x).