Question

dadas as funçoes f:r* r,tal que f(x)=2x elevado ao quadrado-3x+1determinef(x+1)

Answer 1

$\boxed{f(x) = 2x^{2}-3x+1}$

Se substituirmos:

$f(x) = 2x^{2}-3x+1 \\\\ f(x+1) = 2 \cdot (x+1)^{2}-3 \cdot (x+1)+1 \\\\ f(x+1) = 2 \cdot (x^{2}+2x+1)-3 \cdot (x+1)+1 \\\\ f(x+1) = 2x^{2}+4x+2-3x+3+1 \\\\ \boxed{\boxed{f(x+1) = 2x^{2}+x+6}}$