Question

if f(x) = 1/x and g(x) = x+1/x find(fog)(x).a) x +1/ x squared b) x / x + 1 c) x squared (x + 1)d) x + 1 / x cubed

Answer 1

We have the following:

`\begin{gathered} f(x)=(1)/(x) \\ g(x)=(x+1)/(x) \end{gathered}`

now, (f(x) o g(x))

`\mleft(f\: (x)\circ\: g(x)\mright)=(1)/((x+1)/(x))=(x)/(x+1)`

The answer is the second option

`(x)/(x+1)`