Home › TS EAPCET (Engineering) › Mathematics › Function (mathematics) › Which of these maps from the reals to the reals …
Which of these maps from the reals to the reals is a bijection?
Af(x) = 5
Bf(x) = x^2
Cf(x) = x^3
Df(x) = |x|
Answer & Solution
Correct answer: C. f(x) = x^3
Every real number has exactly one real cube root, so x cubed is one-to-one and onto.
Related questions
What is the inverse of x squared on nonnegative reals called?Why is f(x) = x squared from the reals to [0, infinity) not invertible?For f(x) = 3x and g(x) = x + 5, g(f(x)) is 3x + 5. What is its inverse?How is the inverse of g after f obtained?Which function on a set X is its own inverse?A function equal to its own inverse is called what?For an invertible f with domain X and codomain Y, f inverse has which domain?A function is invertible exactly when it has which property?