NiveahP20599 NiveahP20599
  • 29-10-2022
  • Mathematics
contestada

f(x)=3x-1 and g(x)=2x+3 and find f(g(3))

Respuesta :

ParizaV126221 ParizaV126221
  • 29-10-2022

Answer:

Explanation:

First we evalaute g(x) at x = 3

[tex]g(3)=2(3)+3[/tex][tex]\begin{gathered} =6+3 \\ =9 \end{gathered}[/tex]

[tex]g(3)=9[/tex]

Now we evaluate F(g(3)) by putting in g(3) = 9.

[tex]f(g(x))=3g(x)-1[/tex][tex]f(g(3))=3g(3)-1[/tex][tex]=3\cdot9-1[/tex][tex]\begin{gathered} =27-1 \\ =26 \end{gathered}[/tex]

Hence,

[tex]f(g(x))=26[/tex]

which is our answer!

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