Question

what is the maximum value of f(x)?​

Answer 1

Answer:

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

Step-by-step explanation:

f(x)=log

10

(4x

3

−12x

2

+11x−3)

xϵ[2,3]

f(2)=log

10

(32−38+22−3)

f(2)=log

10

3

f(3)=log

10

(108−108+11×3−3)

=log

10

(30)

=log

10

3+log

10

10

f(3)=1+log

10

3

Therefore, f(x) will have maximum value of 1+log

10

3