The function given by is one–one on its domain if and only if

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

Problem

The function

f:\mathbb{R}\setminus\{-2\}\to\mathbb{R}

given by

f(x)=\dfrac{ax+1}{x+2}

is one–one on its domain if and only if (a)

a>\dfrac12

(b)

a\neq\dfrac12

(c)

a=\dfrac12

(d)

a<\dfrac12