Given the two polynomials, we are looking for the composite function g(f(x)). We will insert the value of f(x) to the function g(x). We have
[tex]g(f(x))=-3(3x^2+x-1)+5[/tex]
Simplifying the obtained algebraic expression above
[tex]\begin{gathered} g(f(x))=-9x^2-3x+3+5 \\ g(f(x))=-9x^2-3x+8 \end{gathered}[/tex]
Hence, the answer to this problem is
[tex]g(f(x))=-9x^2-3x+8[/tex]
