Let `f(x)=x^2+3x+2` then number of solutions is

Let f(x)=x+sin x. Find the number of solutions of f(x)=f^(-1)(x)

Let f(x)=|x| Then number of solutions of f(x)=0 " in"[-2,2] is

Let f(x)=|x| Then number of solutions of f(x)=0 " in"[-2,2] is

If f(x)=||x-2|-1|-3| , then Number of solutions of f(x)=2 are

If f(x)=||x-2|-1|-3| , then Number of solutions of f(x)=1/2 are

If f(x)=||x-2|-1|-3| , then Number of solutions of f(x)=3 are

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...... .

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...... .

Let F:[3,infty]to[1,infty] be defined by f(x)=pi^(x(x-3) , if f^(-1)(x) is inverse of f(x) then the number of solution of the equation f(x)=f^(-1)(x) are