Question

Dadas las funciones f(x) = x2 -5x-2 y g(x) = x2 +3, al calcular (f o g ) (x) se obtiene:

Answer 1

$f(x)=x^2-5x-2 \ \ , \ \ g(x)=x^2+3 \\[4pt] (f\,o\,g)(x)=f(g(x))=(g(x))^2-5(g(x))-2 \\[4pt] \text{Se reemplaza \ }g(x)=x^2+3 \\[4pt] (f\,o\,g)(x)=(x^2+3)^2-5(x^2+3)-2\\[4pt] \text{Se opera y se desarrolla \ }\\[4pt] (f\,o\,g)(x)=x^4+6x^2+9-5x^2-15-2 \\[4pt] (f\,o\,g)(x)=x^4+x^2-8$