smntcani
smntcani smntcani
  • 12-02-2022
  • Mathematics
contestada

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​

Respuesta :

semsee45
semsee45 semsee45
  • 12-02-2022

Answer:

g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]

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