Question

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

Answer 1

Explanation:

Hey there!

Given;

f(X) = (3-x)/(x^2+4).

g(x) = 3x.

Now;

g(2) = 3*2

= 6

Now, Find f(g(2))

`= f(g(2))`

`= f(6)`

`= \frac{3 - 6}{ {6}^(2) + 4}`

`= ( - 3)/(40)`

`= ( - 3)/(40)`

Therefore, f(g(X))= -3/40.

Hope it helps...