Consider the functions and defined on the set of all real numbers.

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

Problem

Consider the functions

f(x)=2x^{2}-3x+1

and

g(x)=x|x|

defined on the set of all real numbers. (i) Find

(f+g)(x)

and

(f-g)(x)

, writing each answer in its simplest algebraic form. (ii) Evaluate

(f+g)(-2)

and

(f-g)(2)

. (iii) State the domain of

(f-g)(x)

, giving reasons for your answer.