Home
Class 11
MATHS
Let f(1) (x) and f(2) (x) be twice diffe...

Let `f_(1) (x) and f_(2) (x)` be twice differentiable functions where `F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2) (0) = 1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R`. then the number of solutions of the equation `(F(x))^(2) =(9x^(4))/(G(x))`is...... .

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)={0,x<1 and 2x-2,x<=1 then the number of solutions of the equation f(f(f(x)))=x is

Let f(x)=2x+1. AA x , then the solution of the equation f(x)=f^(-1)(x) is

Let f(x)=x^(2)-x+1, AA x ge (1)/(2) , then the solution of the equation f(x)=f^(-1)(x) is

If f(x)+2f(1-x)=x^(2)+1,AA x in R, then the range of f is :

Let f (x) and g (x) be two differentiable functions, defined as: f (x)=x ^(2) +xg'(1)+g'' (2) and g (x)= f (1) x^(2) +x f' (x)+ f''(x). The value of f (1) +g (-1) is:

f(x)+2f(1-x)=x^(2)+2,AA x in R then f(x)=

Let f : (-1,1) to R be a differentiable function with f(0) =-1 and f'(0)=1 Let g(x)= [f(f(2x)+1)]^2 . Then g'(0)=

Let f(x)=x+f(x-1) for AA x in R.If f(0)=1, find f(100)