The functions and are defined for all real numbers

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

Problem

The functions

f(x)=3x^{2}-2x+4

and

g(x)=5^{x}

are defined for all real numbers

x

. Answer the following questions. (i) Obtain the product function

(f\,g)(x)

in its simplest form. (ii) Calculate

(f\,g)(1)

. (iii) Find

(f+g)(0)