elizabethcastro2002 elizabethcastro2002
  • 25-02-2021
  • Mathematics
contestada

Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).
f(x) = 4x + 14
g(x) = 3x2 + 5x – 6

Respuesta :

beryllium
beryllium beryllium
  • 25-02-2021

Answer:

-18

Step-by-step explanation:

[tex]f(x) = 4x+14\\g(x) = 3x^{2} + 5x -6\\f(g(x)) = 4(3x^{2} + 5x -6)+14 \\f(g(-1)) = 4(3(-1 ^{2}) + 5(-1) -6) +14 \\\\= 4(3 - 5 - 6) + 14\\= 4 (-8) + 14\\= - 32 + 14 \\= -18[/tex]

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