If f(x) = -x2+9x-18, then what is the maximum value of f(x)?

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16-09-2017
Mathematics

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If f(x) = -x2+9x-18, then what is the maximum value of f(x)?

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mergl mergl · Answer 1 · 2017-09-17T01:26:58+02:00

mergl mergl

17-09-2017

f(x)=-x^2+9x-18
=-(x^2-9x+18)
=-((x-3)(x-6))
As leading coefficient is negative, between the two zeros is the maximum
=(3+6)/2
=(9)/2
x=4.5
=-(4.5)^2+9(4.5)-18
=2.25

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