ChinyereL478434 ChinyereL478434
  • 03-11-2022
  • Mathematics
contestada

If f(x) = x + 4 and g(x) = x ^ 2 - 1 , what is big(g f big) big(x big) ?

If fx x 4 and gx x 2 1 what is bigg f big bigx big class=

Respuesta :

CodyM676424 CodyM676424
  • 03-11-2022

Given

[tex]\begin{gathered} f\mleft(x\mright)=x+4 \\ g\left(x\right)=x^2-1 \end{gathered}[/tex]

Find

[tex](g\circ f)(x)[/tex]

Explanation

[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ (g\circ f)(x)=g(x+4) \\ (g\circ f)(x)=(x+4)^2-1 \\ (g\circ f)(x)=x^2+16+8x-1 \\ (g\circ f)(x)=x^2+8x+15 \end{gathered}[/tex]

Final Answer

Therefore , the correct option is C.

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