haleyledbetter
haleyledbetter haleyledbetter
  • 12-01-2021
  • Mathematics
contestada

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

Respuesta :

Sueraiuka
Sueraiuka Sueraiuka
  • 12-01-2021

Step-by-step 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))

[tex] = f(g(2)) [/tex]

[tex] = f(6)[/tex]

[tex] = \frac{3 - 6}{ {6}^{2} + 4} [/tex]

[tex] = \frac{ - 3}{40} [/tex]

[tex] = \frac{ - 3}{40} [/tex]

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

Hope it helps...

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