Home
Class 12
MATHS
If f(x)f(y) = f(x) + f(y) + f(xy) -2 for...

If f(x)f(y) = f(x) + f(y) + f(xy) -2 for all real values of x and y and f(2) = 5, find f(4) and `f(1/4)`.

Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos
  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

If f(x+y) = f(x) * f(y) for all real x and y and f(5)=2,f'(0) = 3 , find f'(5).

For all real values of x and y, if f(x+y)=f(x)f(y), f(5)=4, f'(0)=2, find f'(5).

If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then find f(x).

If f(x+y)=f(x)+f(y) for all real x and y, show that f(x)=xf(1) .

If f(x+y+z)=f(x) f(y) f(z) ne 0 for all x,y,z and f(2)=5, f'(0)=2, find f'(2).

If f(x + y) = f(x) +f(y), then the value of f(0)

Let f((x+y)/2)=(f(x)+f(y))/2 for all real x and y. If f'(0) exists and equals-1 and f(0)=1, find f(2)

If f(x+y+z)=f(x)f(y)f(z)ne0 , for all x, y, z and f(2)=4,f'(0)=3 , find f'(2) .

Let f be a function defined from R^(+)rarrR^(+). If (f(xy))^(2)=x(f(y))^(2) for all positive numbers x and y, If f(2)=6, find f(50) =?

If f(x-y), f(x) f(y) and f(x+y) are in A.P. for all x , y ,and f(0)!=0, then (a) f(4)=f(-4) (b) f(2)+f(-2)=0 (c) f^(prime)(4)+f^(prime)(-4)=0 (d) f^(prime)(2)=f^(prime)(-2)