Question

F(x)=7/(x+3) and g(x)=1/x find (f o g)(x)

Answer 1

`(7x)/(1+3x)`

Explanation:

If
`f(x)=(7)/(x+3)` and
`g(x)=(1)/(x)`

Then:

`(fog)(x) = f(g(x))=(7)/(g(x)+3) =(7)/((1)/(x)+3 ) =(7)/((1)/(x)+(3x)/(x)  )=\\ = (7)/((1+3x)/(x) )=(7x)/(1+3x)`