Let and , where is an integer. The composite function is defined for all real . What…

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

Problem

Let

f(x)=\ln x

and

g(x)=e^{x}+k

, where

k

is an integer. The composite function

(f\circ g)(x)

is defined for all real

x

. What is the least integer value of

k

that satisfies this condition? (a)

-1

(b)

0

(c)

-2

(d)

1