Given and , determine the domain of the quotient…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Given

f(x)=x^{2}-9

and

g(x)=\sqrt{5-x}

, determine the domain of the quotient

\left(\dfrac{f}{g}\right)(x)

. (a)

(-\infty,5]

(b)

(-\infty,5)\cup(5,\infty)

(c)

(-\infty,5)

(d)

(-\infty,5)\setminus\{-3,3\}