Question

Find the maximum value of f(x)= -3x2 +9x
A. 27/4
B. 25/4
C. 20/5

Answer 1

Step-by-step explanation:

For maximum value it's derivative 0

$- 6x + 9 = 0 \implies \: x = \frac{3}{2}$

So value

$- 3( \frac{3}{2} ) {}^{2} + 9( \frac{3}{2} ) = \frac{27}{4}$