# Is it always true that #(f@g)(x) = (g@f)(x)#?

This relationship is true only if the functions

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No, it is not always true that ((f@g)(x) = (g@f)(x)). The equality depends on the definitions of the operations (f@g) and (g@f). If (f) and (g) are functions and (@) denotes a binary operation such as composition, then generally ((f \circ g)(x) \neq (g \circ f)(x)) because the order in which functions are applied can affect the outcome.

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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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