Find f(x) and g(x) so the function can be expressed as y = f(g(x))
y = Seven divided by x squared. + 10
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OpenStudy (anonymous):
@dan815
OpenStudy (zzr0ck3r):
\(f(g(x)) = \dfrac{7}{x^2+10}\)?
OpenStudy (zzr0ck3r):
@ivorypolnett
OpenStudy (zzr0ck3r):
or \(f(g(x)) = \dfrac{7}{x^2}+10\)
OpenStudy (anonymous):
the second one
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OpenStudy (zzr0ck3r):
right I guess that was the point of your period.
ok I will give you a hint for one way to do this
\(f(g(x)) = f(\color{blue}{\frac{7}{x^2}})=\color{blue}{\frac{7}{x^2}}+10\)
OpenStudy (zzr0ck3r):
what do you think the function \(f\) needs to be for this to be a true statement?
OpenStudy (zzr0ck3r):
In other words, what function takes something and adds \(10\) to it?
OpenStudy (anonymous):
I'm honestly not sure.. im sorry
OpenStudy (anonymous):
@ivorypolnett I think a part of the question is missing. f(x) should be given before hand
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OpenStudy (anonymous):
the problem doesn't give me f(x), im sorry @Harindu