Respuesta :

We have the following functions:

[tex]\begin{gathered} f(x)=x^2-3x-9 \\ g(x)=2x \end{gathered}[/tex]

We need to find g(8) + f(-3). The expression g(8) is equivalent to replace 8 in the place of x, that is,

[tex]\begin{gathered} g(8)=2(8) \\ \text{then, } \\ g(8)=16 \end{gathered}[/tex]

Similarly, f(-3) is given by

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

which gives

[tex]\begin{gathered} f(-3)=9+9-9 \\ f(-3)=9 \end{gathered}[/tex]

Therefore, g(8)+f(-3) is given by

[tex]g\mleft(8\mright)+f\mleft(-3\mright)=16+9[/tex]

so the answer is 25