Respuesta :

Answer:

  • [tex]f(x)=27[/tex]
  • [tex]g(5) = -18[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2 -3x[/tex]     [tex]f(-3)[/tex]

[tex]g(x)=-3x-3[/tex]        [tex]g(5)[/tex]

Replace everywhere "x" is with the given function. Then solve:

  • [tex]f(-3)[/tex]

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

Use PEMDAS

[tex]-3 \times -3 = 9[/tex]

[tex]f(x)=2(-3)^2-3(-3)\\\\f(x)=2(9)-3(-3)[/tex]

[tex]2 \times 9 = 18\\3\times-3=-9\\18- (-9)=27[/tex]

[tex]f(x)=27[/tex]

  • [tex]g(5)[/tex]

[tex]g(x)=-3x-3\\\\g(x)=-3(5)-3\\-3\times 5 = -15\\-15-3=-18[/tex]

[tex]g(5) = -18[/tex]

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