# How do you find the compositions given #f(x) = x/(x^2+1)#, #g (x) = x^2 +1#?

To find the composition ( (f \circ g)(x) ), substitute ( g(x) ) into ( f(x) ). Thus, ( (f \circ g)(x) = f(g(x)) = f(x^2 + 1) ). Therefore, ( (f \circ g)(x) = \frac{x^2 + 1}{(x^2 + 1)^2 + 1} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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