Let and be real–valued functions defined by and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f

and

g

be real–valued functions defined by

f(x)=2x+1

and

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

. (i) Form the composite function

g\circ f

and simplify the expression obtained. (ii) Determine the domain of

g\circ f

. (iii) Hence, write the range of

g\circ f