lf `2 f(x^2) + 3 f( 1/x^2) = x^2-1` `xepsilon R_0` then `f(x^2)` is

Let 2f(x^(2))+3f(11x^(2))=x^(2)-1 for all x in R=[0], Then f(x) equals

If f is a function such that f(0) = 2, f(1) = 3, f(x+2) = 2f(x) - f(x + 1), then f(5) is

If f(x)=x^2-3x+1 find x in R such that f(2x)=2f(x)

Let f :R to R be a function such that f(x) = x^3 + x^2 f' (0) + xf'' (2) , x in R Then f(1) equals:

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

Let f_(1) : R to R, f_(2) : [0, oo) to R, f_(3) : R to R be three function defined as f_(1)(x) = {(|x|, x < 0),(e^x , x ge 0):}, f_(2)(x)=x^2, f_(3)(x) = {(f_(2)(f_1(x)),x < 0),(f_(2)(f_1(x))-1, x ge 0):} then f_3(x) is:

Let f_(1) : R to R, f_(2) : [0, oo) to R, f_(3) : R to R be three function defined as f_(1)(x) = {(|x|, x < 0),(e^x , x ge 0):}, f_(2)(x)=x^2, f_(3)(x) = {(f_(2)(f_1(x)),x < 0),(f_(2)(f_1(x))-1, x ge 0):} then f_3(x) is:

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is