Let (f(x)= 2x-1 ) and (g(x)= 1 x-4 )

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

Problem

Let

f(x)=\sqrt{2x-1}

and

g(x)=\dfrac{1}{x-4}

. The domain of the composite function

g\circ f

is (a)

(\tfrac12,\infty)\setminus\{\tfrac{17}{2}\}

(b)

[\tfrac12,\infty)\setminus\{4\}

(c)

[\tfrac12,\infty)\setminus\{\tfrac{17}{2}\}

(d)

[\tfrac12,\infty)