Answer:
[tex]g(f(x)) = 3x^2 + 6x -11[/tex]
Step-by-step explanation:
g(f(x)) means that we find an equation where f is a function of g. so we substitute f(x) in all x values for g, so therefore
[tex]g(f(x)) = 3(x^2 +2x -4) + 1[/tex]
then we simplify this equation and solve for g(f(x)).
[tex]g(f(x)) = 3x^2 + 6x - 12 + 1[/tex] we have multiplied by 3 the equation of f(x)
[tex]g(f(x)) = 3x^2 + 6x -11[/tex] we then add or subtract like terms which are those terms that have the same variables.
