Which of the following functions from f : A → A are invertible, where A = [–1, 1] |
$f(x)=\frac{x}{2}$ $g(x)=\sin \left(\frac{\pi x}{2}\right)$ h(x) = |x| $k(x)=x^2$ |
$g(x)=\sin \left(\frac{\pi x}{2}\right)$ |
$g(x)=\sin \left(\frac{\pi x}{2}\right)$ is both one–one and onto. Hence (2) is the correct answer. |