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Grade: 12


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

6 years ago

Answers : (2)

Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
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, iit delhi
6 years ago
mycroft holmes
272 Points
							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.
6 years ago
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