For this case we have the following function:
F (x) = (5x-2) / (x ^ 2 + 3)
Let's evaluate the function for x = 2
We have then:
F (2) = (5 (2) -2) / ((2) ^ 2 + 3)
F (2) = (10-2) / (4 + 3)
F (2) = (8) / (7)
Then we have:
(3/2) * F (2)
Substituting:
(3/2) * (8/7)
Rewriting:
(3/2) * (8/7) = 24/14
Simplifying:
24/14 = 12/7
Answer:
12/7
