phillipsmarrii phillipsmarrii
  • 26-03-2020
  • Mathematics
contestada

If g(x) = 2x - 5 and h(x) = 3x + 7, then g(h(x)) = ?
5x + 2
6x48
Opa
C)
6x + 9
th
D)
6x + 14
+
El

Respuesta :

corm
corm corm
  • 26-03-2020

Step-by-step explanation:

[tex]g(x) = 2x - 5[/tex]

[tex]h(x) = 3x + 7[/tex]

To determine [tex]g(h(x))[/tex], wherever you see an [tex]x[/tex] in [tex]g(x)[/tex], replace it with the equation [tex]h(x)[/tex]:

[tex]g(x) = 2x - 5[/tex]

[tex]g(h(x)) = 2(h(x)) - 5[/tex]

[tex]g(h(x)) = 2(3x + 7) - 5[/tex]

[tex]g(h(x)) = 6x + 14 - 5[/tex]

[tex]g(h(x)) = 6x + 9[/tex]

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