Let and . Which statement correctly compares their domain and…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f(x)=x^{2}

and

g(x)=3x-5

. Which statement correctly compares their domain and range? (a) Range of

f

\mathbb R

, while range of

g

[0,\infty)

. (b) Both domain and range are identical for

f

and

g

. (c) Both have domain

\mathbb R

, but

\operatorname{Range}(f)=[0,\infty)

while

\operatorname{Range}(g)=\mathbb R

. (d) Domain of

f

[0,\infty)

, while domain of

g

\mathbb R