The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function?

Multiplying an odd function by a constant preserves oddness. For g(x) = −6h(x), g(−x) = −6h(−x) = −6(−h(x)) = 6h(x) = −g(x), which is the defining rule for an odd function. So the transformation −6h(x) results in an odd function.

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