Given
[tex]f\mleft(x\mright)=2x-3[/tex][tex]g\mleft(x\mright)=-5x+2[/tex]Find
[tex]f\mleft(3\mright)+g\mleft(8\mright)[/tex]First we substitute x=3 into f(x):
[tex]\begin{gathered} f\mleft(3\mright)=2*3-3=6-3=3 \\ f\mleft(3\mright)=3 \end{gathered}[/tex]Now find g(8):
[tex]g\mleft(8\mright)=-5*8+2=-40+2=-38[/tex]Now find
[tex]\begin{gathered} f\mleft(3\mright)+g\mleft(8\mright)=3-38=-35 \\ f\mleft(3\mright)+g\mleft(8\mright)=-35 \end{gathered}[/tex]f(3) + g(8) = -35