# Suppose f is defined on [0,4] and g(x)=f(x+3) what is the domain of g?

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The domain of ( g(x) ) is ([−3, 1]), because when ( x = 0 ), ( g(x) = f(0 + 3) = f(3) ), and when ( x = 4 ), ( g(x) = f(4 + 3) = f(7) ). Therefore, the domain of ( g(x) ) corresponds to the domain of ( f(x) ) shifted three units to the left.

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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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