20-03-2020
Mathematics

contestada

f(x) = 3x2 – 5x – 9
g(x) = 3x – 8
Find: f(g(x))

Respuesta :

PollyP52 PollyP52

20-03-2020

Answer:

27x^2 - 159x + 223

Step-by-step explanation:

We replace the x in f(x) by g(x):

f(g(x)) = 3(3x - 8)^2 - 5(3x - 8) - 9

= 3(9x^2 - 48x + 64) - 15x + 40 - 9

= 27x^2 - 144x + 192 - 15x + 31

= 27x^2 - 159x + 223.

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