Answer:
[tex]f(x)=x+3[/tex]
[tex]g(x)=\frac{2}{x^2}[/tex]
Step-by-step explanation:
we are given
[tex]y=\frac{2}{x^2}+3[/tex]
Since, we have to identify f(x) and g(x)
where g(x) is inner function
Let's assume
[tex]g(x)=\frac{2}{x^2}[/tex]
so, we get
[tex]y=g(x)+3[/tex]
we know that
y=f(g(x))
so, we can also write as
[tex]f(g(x))=g(x)+3[/tex]
now, we can replace g(x) as x
we get
[tex]f(x)=x+3[/tex]
so, we get
[tex]f(x)=x+3[/tex]
[tex]g(x)=\frac{2}{x^2}[/tex]
