Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = Two divided by x squared. + 3

Answer 1

Hello,

g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)

Explainations:

f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)