Which of the following function(s) from f: A → A are invertible, where x ∈ [−1, 1] ? |
$f(x)=\frac{x}{2}$ $g(x)=\sin(\frac{πx}{2})$ $h(x) = |x|$ $k(x) = x^2$ |
$g(x)=\sin(\frac{πx}{2})$ |
Clearly (c) and (d) are ruled out as these are many-one. Also $f(x)=\frac{x}{2}$ is one-one but not |