Let with domain

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f(x)=\sqrt{x+2}

with domain

x\ge -2

, and

g_k(x)=\dfrac{1}{x-k}

where

k\in\mathbb{R}

. For which values of

k

is the domain of

(g_k\circ f)(x)

equal to

[-2,\infty)

? (a)

k\le 0

(b)

k>0

(c)

k<0

(d)

k=0

Related theory

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