Let and . Let be the set of all real numbers such that for infinitely many real…

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

Problem

Let

f(x)=\frac{x}{1+x}

and

g(x)=\frac{rx}{1-x}

. Let

S

be the set of all real numbers

r

such that

f(g(x))=g(f(x))

for infinitely many real numbers

x

. The number of elements in

S

is (1)

1

(2)

2

(3)

3

(4)

5