Question

Find f(x) and g(x) so that the function can be described as y=f(g(x)) y=2/x^2+9

Answer 1

Answer:

$f(x)=\frac{2}{x} \\g(x)=x^2+9$

Step-by-step explanation:

One easy selection of possible f(x) and g(x) functions is:

$f(x)=\frac{2}{x} \\g(x)=x^2+9$

Since when composed to form $f(g(x))$ they give:

$f(g(x))=\frac{2}{g(x)} =\frac{2}{x^2+9}$