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How to solve questions of the type f (x+y)=f (xy/4), f (4)=-4 This is just an example but please give a generalised approach for such questions

How to solve questions of the type

f (x+y)=f (xy/4), f (4)=-4

This is just an example but please give a generalised approach for such questions

Grade:12

2 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago 
this type of function are solved by plotting there graph,
1. first check value of function at origin
2. then vary points along x direction.
3. the vary points along y direction.
4. take some points in x,y plane
5. then draw a curve passing through all these points, this will give you approximate function.

sher mohammad
b.tech, iit delhi
mycroft holmes
272 Points
8 years ago
Setting y = 0 gives f(x) = f(0) for all x. That means f is a constant function. Since f(4)=-4, this means f(x) = -4 for all x.

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