# How do you find the domain of the function #f(x)=log(x-8)#?

Assume p = x -8.

Consequently, f(p)=log(p),

Thus, p has to be greater than zero (p>0).

This implies that:

x-8>0,

Consequently:

x exceeds 8.

Your response is correct in that x is a real number element, but x has to be greater than 8.

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To find the domain of the function f(x) = log(x-8), you need to consider the restrictions on the domain of the logarithmic function. Since the argument of the logarithm must be greater than zero, you set the expression inside the logarithm greater than zero and solve for x:

x - 8 > 0 x > 8

Therefore, the domain of the function is all real numbers x such that x is greater than 8, or in interval notation, (8, ∞).

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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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