Express the function h(x)=1/x+9 in the form f of g. If g(x) equals x+9, find the function f(x).
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Originally Posted by md56 Express the function h(x)=1/x+9 in the form f of g. If g(x) equals x+9, find the function f(x). I assume you mean , rather than , but correct me if I am wrong. Well we know that , and we know that Which means: You can find out what is from here by replacing with .
So f(g(x)) is equal to 1/(x+9)?
Originally Posted by md56 So f(g(x)) is equal to 1/(x+9)? Yeah. Remember, you have h(x), and you're trying to express h(x) in terms of f(g(x)). So we're spitting one function, h(x), into a function of a function f(g(x)). So the first fact we deal with in this problem is that: h(x) = f(g(x)) and we are told that h(x) = 1/(x+9).
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