` f^-1 (-1) = R-Q`=Set of irrational numbers. Let `f : R -> R` be such that `f (x)=2^x` Determine:

Let f:R rarr R be such that f(x)=2x .Determine f(f(x).

Let f: R^+ -> R where R^+ is the set of all positive real numbers, be such that f(x)=(log)_e x . Determine: the image set of the domain of f

Let f: R->R whre R^+ is the set of all positive real numbers, be such that f(x)=(log)_e xdot Determine: whether f(x y)=f(x)+f(y) holds.

Let f: R->R whre R^+ is the set of all positive real numbers, be such that f(x)=(log)_e xdot Determine: whether f(x y)=f(x)+f(y) holds.

Let f: R->R whre R^+ is the set of all positive real numbers, be such that f(x)=(log)_e xdot Determine: {x :f(x)=-2}

Let f: R->R whre R^+ is the set of all positive real numbers, be such that f(x)=(log)_e xdot Determine: {x :f(x)=-2}

Let R be the set of all real numbers. Let f: R rarr R be a function such that : |f(x) - f(y)|^2 le |x-y|^2, AA x, y in R . Then f(x) =

Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

Let R be the set of real numbers and let f:RtoR be a function such that f(x)=(x^(2))/(1+x^(2)) . What is the range of f?