Let with domain and

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

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

with domain

x\ge -4

and

g(x)=3x-5

. (a) Find the composite function

(g\circ f)(x)

. (b) Hence calculate

(g\circ f)(5)

. (c) State the domain of

(g\circ f)

and give reasons for your answer.