AldrikV35849 AldrikV35849
  • 25-10-2022
  • Mathematics
contestada

Find f(g(3)).f(x)=2x-5g(x) = 1 + x²f(g(3)) = [?]

Respuesta :

DaliceL186353 DaliceL186353
  • 25-10-2022
[tex]\begin{gathered} f(x)=2x-5 \\ g(x)=1+x^2 \end{gathered}[/tex]

To find the value of the given composition of functions you follow the next steps:

1. Find g(3):

[tex]\begin{gathered} g(3)=1+3^2 \\ g(3)=1+9 \\ g(3)=10 \end{gathered}[/tex]

2. Find f(g(3)) or f(10):

[tex]\begin{gathered} f(g(3))=f(10) \\ f(g(3))=2(10)-5 \\ f(g(3))=20-5 \\ f(g(3))=15 \end{gathered}[/tex]Then, f(g(3)) is equal to 15
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