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Suppose that the functions f and g are defined as follows. f(x) = x-3, g(x) = 8/x. Find G/F. then, give its domain using an interval or Union of intervals. simplify your answers…

Suppose that the functions f and g are defined as follows. f(x) = x-3, g(x) = 8/x. Find G/F. then, give its domain using an interval or Union of intervals. simplify your answers…
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suppose that the functions f and g are defined as follows. f(x) = x-3, g(x) = 8/x. Find G/F. then, give its domain using an interval or Union of intervals. simplify your answers.

suppose that the functions f and g are defined as follows. f(x) = x-3, g(x) = 8/x-example-1
User Brandin
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\begin{gathered} f(x)\text{ = x - 3 and g(x) = }(8)/(x),\text{ } \\ \text{Then, }(g)/(f)\text{ = }\frac{(8)/(x)}{x\text{ - 3}}\text{ = }\frac{8}{x(x\text{ - 3)}} \\ \text{Considering the denominator, we can't have x = 0 or x = 3. Because this will make the function undefined. } \\ \text{The domain is a union of intervals } \\ \text{-}\infty\text{ }\leq x<0 \\ 03 \end{gathered}

In interval notation,

The domain is;


\begin{gathered} (-\infty,0) \\ (0,3) \\ (3,\infty) \end{gathered}

User Dardoneli
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