Question

For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
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Answer 1

Step-by-step explanation:

Given, f(x)=−3(x+4)(x+8)

The maximum value of f(x) implies minimum value of (x+4)(x+8)=x

2

+12x+32.

The minimum value is (c−

4a

b

2

)=32−

4

144

=32−36=−4

Therefore the maximum value of f(x) is −3×−4=12