Question

10. Sea: P(x+1) = x elebado a la 2 + 2x + 4, presenta: P(2) = m–2, calcular: "m+2"

Answer 1

$P(x+1)= x^2 +2x +4\quad \to \quad P(x+1-1)= (x-1)^2+2(x-1)+4 \\ \\ P(x)= (x^2-2x+1)+2x-2+4 \\ \\ P(x)= x^2-2x+1 +2x+2 \\ \\ \boxed{P(x)=x^2+3} \\ \\ Ahora\to P(2) =m-2, entonces \\ \\ P(2)= 2^2+3\to m-2= 4+3\to m= 7+2\to \boxed{m=9} \\ \\ Calcular: m+2\to \boxed{m+2= 9+2= \boxed{11}}$

Espero que te sirva, salu2!!!!!