becauseofnaomi0 becauseofnaomi0
  • 25-08-2020
  • Mathematics
contestada

If f(x) = x – 5 and g(x) = 2x^2 + 7x – 13, find [g ºf](x).

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 28-08-2020

Answer:

               [tex]\bold{[g\circ f](x) = 2x^2-13x+2}[/tex]

Step-by-step explanation:

[tex]{}[g\circ f](x) = g[f(x)] \\\\{} [g\circ f](x)= g(x-5)\\\\{} [g\circ f](x) = 2(x-5)^2+7(x-5)-13\\\\{} [g\circ f](x) = 2(x^2-10x+25)+7x-35-13\\\\{} [g\circ f](x) = 2x^2-20x+50+7x-48\\\\{} [g\circ f](x) = 2x^2-13x+2[/tex]

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