samanthagutierrez022 samanthagutierrez022
  • 06-05-2020
  • Mathematics
contestada

given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

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ItzMikeSS
ItzMikeSS ItzMikeSS
  • 06-05-2020

Answer: [tex]f(g(x))=2x^2+16x+29[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3\\g(x)=x+4[/tex]

f of g of x means "function f, replace x by the value of g of x"

[tex]f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29[/tex]

Answer Link
Cutepoptart
Cutepoptart Cutepoptart
  • 08-06-2021

Answer:

2x^3+8x^2−3x−12

Step-by-step explanation:

Given f(x)=2x^2−3 and g(x)=x+4.

What is (fg)(x)?

2x^3+8x^2−3x−12

Answer Link

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