Consider and with

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

Problem

Consider

f(x)=ax+1

and

g(x)=\dfrac{1}{x}

with

x\neq0

. For which real value of

a

does

(f\circ g)(x)=(g\circ f)(x)

for every admissible

x

? (a)

1

(b) No real value of

a

(c)

0

(d)

-2

Related theory

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