Consider , , and defined on their natural domains. For which value of does the…

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

Problem

Consider

f(x)=\dfrac{2x+1}{x-3}

x\neq 3

, and

g(x)=\dfrac{3x+p}{x-2}

defined on their natural domains. For which value of

p

does the composition

g\circ f

equal the identity function on the domain of

f

? (a)

2

(b)

1

(c)

3

(d)

-5