AerabellaF21611 AerabellaF21611
  • 25-10-2022
  • Mathematics
contestada

Given the functions f(x) = x ^ 2 + 3x - 1 and g(x) = - 2x + 3 determine the value of (f + g)(- 2)

Given the functions fx x 2 3x 1 and gx 2x 3 determine the value of f g 2 class=

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JacobsonP324885 JacobsonP324885
  • 25-10-2022

Start by finding (f+g)(x)

[tex](f+g)(x)=(x^2+3x-1)+(-2x+3)[/tex]

simplify the equation

[tex]\begin{gathered} (f+g)(x)=x^2+(3x-2x)-1+3 \\ (f+g)(x)=x^2+x+2 \end{gathered}[/tex]

then, replace x by -2

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

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