Question

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

Answer 1

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Answer:

  (f×g)(2) = 3/4

Step-by-step 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