How to find inverse. f(x)=(5000/x)+7 and g(x)=x^2+1?

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first, you have to find (f of g)(x), so you plug g(x) into x for f(x)
f(g(x))= (5000/(x^2+1))+7
you can't really simplify that, so then you take the inverse by switching y and x
x=(5000/(y^2+1))+7
then, you want to isolate the y
x-7=5000/(y^2+1)
(x-7)(y^2+1)=5000
y^2+1=5000/(x-7)
y^2=(5000/(x-7))-1
y=√ [(5000/(x-7))-1]...Show more