Let be defined by and let denote the identity function on .

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

Problem

Let

p:\mathbb R\to\mathbb R

be defined by

p(x)=5x-7

and let

I_{\mathbb R}

denote the identity function on

\mathbb R

. (i) Calculate

(p\circ I_{\mathbb R})(2)

. (ii) Calculate

(I_{\mathbb R}\circ p)(2)