Let `f_1:R->R and f_2:C -> C` are two functions such that `f_1(x)=x^3 and f_2=x^3`.Prove that `f_1 and f_2`are not same.

Let f:R rarr R be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f''(3) What is f''(1) equal to

If f: R to [0,∞) be a function such that f(x -1) + f(x + 1) = sqrt3(f(x)) then prove that f(x + 12) = f(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:

Let f:R rarr R be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f''(3) for x in R What is f(1) equal to

Let f:R rarr R be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f''(3) What is f'(1) equal to

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

If f:R->R is a function such that f(x)=x^3+x^2f''(2)+f'''(3) for all xepsilonR then prove that f(2)=f(1)-f(0)

Let f:RtoR be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3) for x in R What is f(1) equal to :

Give examples of two one-one function f_1 and f_2 from R to R such that f_1 + f_2 : R rarr R defined by : (f_1+f_2)(x) = f_1 (x) + f_2(x) is not one-one.