autumnperezgame autumnperezgame
  • 03-06-2020
  • Mathematics
contestada

PLS PLS HELP!!!!!!
Let f(x)=x^2 + 5 and g(x)=x+5/x find (g°f)(-3)

A. 1/4

B. 14/19

C. 19/14

D. 49/9

Respuesta :

Thdev
Thdev Thdev
  • 03-06-2020

Answer:

C

Step-by-step explanation:

Okay, so for this, you need to know that (g°f)(x) = g(f(x))

in order words, we are using the f(x) equation as X for the g(x) equation..

[tex]\frac{ x^{2} +5 + 5}{ x^{2} +5}[/tex] = [tex]\frac{x^{2}+10}{x^{2}+5}[/tex]

Now, we just plug in -3 for X

[tex]\frac{(-3)^{2} + 10 }{(-3)^{2} + 5} =\frac{9 + 10}{9 + 5} = \frac{19}{14}[/tex]

C

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