Consider the functions and

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the functions

f(x)=\sqrt{4-x}

and

g(x)=\dfrac{1}{x-3}

. Which of the following correctly states their respective domains? (a)

f: [4,\infty),\; g: (-\infty,3)

(b)

f: (-\infty,4),\; g: (3,\infty)

(c)

f: (-\infty,4],\; g: (-\infty,\infty)\setminus\{3\}

(d)

f: (-\infty,4],\; g: (3,\infty)

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