# How do you find the compositions given #f(x)=8x# and #g(x)=x/8#?

Likewise, we can demonstrate that,

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To find the compositions of the functions (f(x) = 8x) and (g(x) = \frac{x}{8}), we calculate (f(g(x))) and (g(f(x))).

(f(g(x)) = f\left(\frac{x}{8}\right) = 8\left(\frac{x}{8}\right) = x)

(g(f(x)) = g(8x) = \frac{8x}{8} = x)

So, both compositions are equal to (x).

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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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