BryelleL140047 BryelleL140047
  • 25-10-2022
  • Mathematics
contestada

g(x)=2x-2f(x)=4x-1Find (g*f) (-9)

Respuesta :

TaisiyaV705505 TaisiyaV705505
  • 25-10-2022

Given:

[tex]\begin{gathered} g(x)=2x-2 \\ f(x)=4x-1 \end{gathered}[/tex]

The expression for g(f(x)) is,

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

Substitute x=-9 in the above expression.

[tex]\begin{gathered} g(f(-9))=8\times-9 \\ =-72 \end{gathered}[/tex]

Thus, the final value of the expression is -72.

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