# If #f(x) = x^2# and #g(x) = x + 2#, what is #(g@f)(x)#?

In this composition the independent variable is f(x) because this function is the input.

The composition is the same as the following ...

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The composition ( (g \circ f)(x) ) is equal to ( g(f(x)) ). So, if ( f(x) = x^2 ) and ( g(x) = x + 2 ), then ( (g \circ f)(x) = g(f(x)) = g(x^2) = x^2 + 2 ).

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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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- How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)= (2x+1)/(x-1)#?
- How do you find the asymptotes for #(x-3)/(x-2)#?
- How do you find the inverse of #2x + 3y = 6#?

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