Question

Using the functions f(x) = (3 - x)/(x2 + 4) and g(x) = 3x, find the value of (f*g)(2).

Answer 1

9514 1404 393

Answer:

(f×g)(2) = 3/4

Explanation:

For each of the functions, put 2 where x is and evaluate the expression.

f(2) = (3 -2)/(2² +4) = 1/8

g(2) = 3×2 = 6

Then the product is ...

(f×g)(2) = f(2)×g(2) = (1/8)×6 = 6/8

(f×g)(2) = 3/4