Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).
y=(7/x^2)+10

Answer 1

\[f(x)=x+10\]
\[g(x)=7/x^2\]

Answer 2

these can also be
\[f(x)=7/x+10\]
\[g(x)=x^2\]

Answer 3

logic is g(x) is put inside f(x),
break the equation to simpler variables
e.g\[\sqrt{x^2+2x+2}\]
\[f(x)=\sqrt{x}\]
\[g(x)=x^2+2x+2\]