Question

Dada a funçao f(x)=ax+b e sabendo que f(3)=5 e F(-2)=-5 então os valores de A e B são

Answer 1

$\boxed{f(x)=ax+b}$

$f(3)=5\ \therefore\ a(3)+b=5\ \therefore\ \boxed{3a+b=5}\ (i)$

$f(-2)=-5\ \therefore\ a(-2)+b=-5\ \therefore\ \boxed{2a-b=5}\ (ii)$

$(i)+(ii)\ \to\ 3a+b+2a-b=5+5\ \therefore\ \boxed{a=2}$

$b=2a-5\ \therefore\ b=2(2)-5\ \therefore\ \boxed{b=-1}$

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