Consider the quadratic function

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

Problem

q(x)=x^{2}+4x+1

. Exactly one of the following pairs

(\text{domain},q^{-1}(y))

correctly gives a domain on which

q

is one–to–one together with the corresponding inverse. Identify it. (a)

[-2,\infty),\; q^{-1}(y)=-2-\sqrt{y+3}

(b)

(-\infty,-2],\; q^{-1}(y)=-2+\sqrt{y+3}

(c)

[-2,\infty),\; q^{-1}(y)=-2+\sqrt{y+3}

(d)

[2,\infty),\; q^{-1}(y)=-2+\sqrt{y+3}