I am not sure how to proceed with answering this question. Can you please help?

I Am Not Sure How To Proceed With Answering This Question Can You Please Help class=

Answer :

Given the function

[tex]y=\frac{2}{x^2}+9[/tex]

since y=(f(g(x))

We need to find f(x) and g(x)

f(x) is

[tex]f(x)=x+9[/tex]

then

g(x)

[tex]g(x)=\frac{2}{x^2}[/tex]

then

[tex]y=f(g(x))=\frac{2}{x^2}+9[/tex]

We have

[tex]y=\frac{2}{x^2}+9[/tex]

replace then

[tex]\frac{2}{x^2}=X[/tex]

now we have

[tex]y=X+9[/tex]

now we are give that

y=(f(g(x))

this means that for a function f(x) the value of x is replace with the function g(x)

then the only option to complete this statement is that

f(x)=X+9

but remember X=