hendersonearl16 hendersonearl16
  • 29-06-2020
  • Mathematics
contestada

If f(x) = 4x ^ 2 and g(x) = x + 1 , find (fg)(x) ).
a. 4x(x)
B. 4x ^ 3 + 4x ^ 2
C. 4(x + 1) ^ 2
D. 4x ^ 2 + 1

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 29-06-2020

Answer:

[tex]\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }[/tex]

Step-by-step explanation:

fog(x)=f(g(x))

so it comes

[tex]f(g(x))=f(x+1)=4(x+1)^2[/tex]

so C is the correct answer

Answer Link
ujalakhan18
ujalakhan18 ujalakhan18
  • 29-06-2020

Answer:

Option B

Step-by-step explanation:

[tex]f(x) = 4x^2\\g(x) = x+1[/tex]

Multiplying both will give us:

[tex](fg)(x) = 4x^2(x+1)[/tex]

=> [tex](fg)(x) = 4x^3+4x^2[/tex]

Answer Link

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