Let with domain and with domain

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

Problem

Let

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

with domain

[2,\infty)

and

g(x)=\ln x

with domain

(0,\infty)

. The domain of

(g\circ f)(x)

is (a)

\{x\mid x\ge 4\}

(b)

\{x\mid x\ge 2\}

(c)

\{x\mid x>2\}

(d)

\{x\mid x>0\}