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

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

If f : R -> R is defined by f(x) = 1 /(2-cos3x) for each x in R then the range of f is

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

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

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

Let f(x)=(1)/(1+|x|) ; x in R the range of f is

Let f:R to R be the function defined by f(x) = (1)/(2-cos x), AA x in R. Then, find the range of f .

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...... .