OGRAPHS AND FUNCTIONS Quotient of two functions: Advanced Suppose that the functions $f$ and $g$ are defined as follows. $f(x) = \frac{x-6}{x+5}$ $g(x) = \frac{x}{x+5}$ Find $\frac{f}{g}$. Then, give its domain using an interval or union of intervals. Simplify your answers. $\left(\frac{f}{g}\right)(x) = \boxed{} $Domain of $\frac{f}{g}: \boxed{}$
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The quotient of two functions is found by dividing the values of the first function by the values of the second function. So, the quotient of f(x) and g(x) is: f(x) / g(x) = (x - 6) / (-x + 5) Next, let's simplify this expression. To simplify, we can multiply Show more…
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Refer to the functions $f$ and $g$ and evaluate the functions for the given values of $x$. $f=\{(2,4),(6,-1),(4,-2),(0,3),(-1,6)\} \quad$ and $\quad g=\{(4,3),(0,6),(5,7),(6,0)\}$ $$(f \circ g)(5)$$
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Refer to the functions $f$ and $g$ and evaluate the functions for the given values of $x$. $f=\{(2,4),(6,-1),(4,-2),(0,3),(-1,6)\} \quad$ and $\quad g=\{(4,3),(0,6),(5,7),(6,0)\}$ $$(g \circ f)(0)$$
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