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Suppose that the function $h(x)$ is defined as $h(x)=g(f(x))$ where $g(x)$ is monotone increasing, $f(x)$ is concave, and $g’’(x)$ and $f’’(x)$ exist for all $x$. Then $h(x)$ is

1. always concave
2. always convex
3. not necessarily concave
4. None of these
in Calculus
recategorized | 27 views