For the pair of functions, find the quotient $\left(\frac{f}{g}\right)(x)$ and give any $x$-values that are not in the domain of the quotient function.
-$f(x)=x^{2}-2 x-8, g(x)=x-4$
A) $x+2 ; x \neq 4$
B) $x+2 ; x \neq 0$
C) $x+2 ; x \neq-4$
D) $x+4 ; x \neq 2$

Question

Quizplus · Accepted Answer

The quotient $\left(\frac{f}{g}\right)(x) = \frac{x^2 - 2x - 8}{x - 4}$. Factoring the numerator gives $\frac{(x-4)(x+2)}{x-4}$, which simplifies to $x+2$. The domain excludes $x=4$ because $g(x)=x-4$ would be zero, making the denominator of the original quotient undefined.

For the Pair of Functions, Find the Quotient (fg)(x)\left(\frac{f}{g}\right)(x)(gf​)(x) And Give Any

For the Pair of Functions, Find the Quotient $\left(\frac{f}{g}\right)(x)$ And Give Any