Functions and are defined by and

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

Problem

Functions

f:\mathbb{R}\to\mathbb{R}

and

g:\mathbb{R}\to\mathbb{R}

are defined by

f(x)=x^{3}

and

g(x)=4x+1

. Which of the following best describes the composition

h=g\circ f

? (a)

h

is injective but not surjective (b)

h

is surjective but not injective (c)

h

is bijective (d)

h

is neither injective nor surjective