Question

the function f(x) defined on the real number has a property f(f(x)).(1+f(x))=-f(x) value of f(3

Answer 1

does elora enamorar yah uttari

Answer 2

GIVEN :

The function f(x) defined on the real number has a property

f(f(x)).(1+f(x))=-f(x)

TO FIND :

value of f(3)

SOLUTION:

◆Given,

f(f(x)(1+f(x))=-f(x)

◆Solving,

f(f(x)=-f(x)/(1+f(x))

◆Consider f(x) to be x ,

◆Then,

f(x)=-x/(1+x)

◆For ,f(3),

◆f(3) = -3/(1+3) = -3/4.

ANSWER :

f(3) = -3/4.