Question:medium
If \(f(x) = x - 7, g(x) = 11 - x\), and \(h(x) = f(x)g(x)\), then the maximum value of \(h\) is
If \(f(x) = x - 7, g(x) = 11 - x\), and \(h(x) = f(x)g(x)\), then the maximum value of \(h\) is
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The maximum value of a quadratic \((x-a)(b-x)\) always occurs halfway between the roots, i.e., at \(x = (a+b)/2\). Here, the roots are 7 and 11, so the max is at \(x = 9\).
Updated On: Jun 24, 2026
- 7
- 9
- 8
- 4
- 0
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The Correct Option is D
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