Let be given by and be given by

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

Problem

Let

f:[-1,4]\rightarrow \mathbb R

be given by

f(x)=x^2

and

g:(-\infty,2]\rightarrow \mathbb R

be given by

g(x)=3x-7

. A new function

h

is defined wherever both

f

and

g

are defined by

h(x)=f(x)+g(x)

. (i) Determine the domain of

h

.},{ (ii) Find the range of

h

over this domain.