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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

If Fx 1x And Gx X1x Findfogxa X 1 X Squared B X X 1 C X Squared X 1d X 1 X Cubed class=

Answer :

We have the following:

[tex]\begin{gathered} f(x)=\frac{1}{x} \\ g(x)=\frac{x+1}{x} \end{gathered}[/tex]

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

[tex]\mleft(f\: (x)\circ\: g(x)\mright)=\frac{1}{\frac{x+1}{x}}=\frac{x}{x+1}[/tex]

The answer is the second option

[tex]\frac{x}{x+1}[/tex]

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