Let and be two functions that are mirror images of each other about the line

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

Problem

Let

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

and

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

be two functions that are mirror images of each other about the line

y=a

. If

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

, then

h(x)

is (1) one-to-one and onto (2) only one-to-one and not onto (3) only onto but not one-to-one (4) None of the above