Home › TS EAPCET (Engineering) › Mathematics › Function (mathematics) › Restricting x squared to which domain makes it i…
Restricting x squared to which domain makes it injective?
AThe interval [-2, 2]
BNonnegative reals
CAll real numbers
DAll the integers
Answer & Solution
Correct answer: B. Nonnegative reals
On nonnegative reals no two inputs share a square, so the function becomes one-to-one.
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?