For which value of is the function given by invertible?

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

Problem

For which value of

k

is the function

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

given by

f(x)=kx^2+2x+3

invertible? (a)

k>0

(b)

k>\dfrac{1}{3}

(c)

k=0

(d) All real

k

except

0