Let `f(x+y)=f(x).f(y)` for all x and y and `f(1)=2.` If in as triangle ABC, `a=f(3), b=f(1)+f(3), c=f(2)+f(3), then 2A=` (A) C (B) 2C (C) 3C (D) 4C

Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a =f (3),b=f(1)+f (3), c=f (2)+f (3),

Let f be a function such that f(x).f\'(-x)=f(-x).f\'(x) for all x and f(0)=3 . Now answer the question:Number of roots of equation f(x)=0 in interval [-2,2] is (A) 0 (B) 2 (C) 4 (D) 1

If f(x)=x^3+x^2f(1)+xf''(2)+f'''(3). Then f(2) is (a) -2 (b) 1 (c) 30 (d) 2

Let f(xy)=f(x)f(y)AA x,y in R and f is differentiable at x=1 such that f'(1)=1 Also,f(1)!=0,f(2)=3. Then find f'(2)

Let (f(x+y)-f(x))/(2)=(f(y)-1)/(2)+xy , for all x,yinR,f(x) is differentiable and f'(0)=1. Range of y=log_(3//4)(f(x)) is

If f(y) = 2y^(2) + by + c and f(0) = 3 and f(2) = 1, then the value of f(1) is

Let f(x)=(x+1)/(x-1) for all xne1 . Let f^(1)(x)=f(x),f^(2)(x)=f(f(x)) and generally f^(n)(x)=f(f^(n-1)(x)) " for n"gt1 Let P=f^(1)(2)f^(2)(3)f^(3)(4)f^(4)(5) Which of the following is a multiple of P- (A) 125 (B) 375 (C) 250 (D) 147