Mathematics

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