Question

Seja F (X) = a X + B para todo X Real. Dado que F (1) = 13 e F (6) = 1 obtenha F (2)

Answer 1

f(1)=13
f(1)=1.a+b=13

f(6)=1
f(6)=6.a+b=1

a+b=13
6a+b=1

a+b=13
-6a-b=-1
________
-5a=12
a=-12/5

a+b=13
-12/5+b=13
-12/5+5b/5=65/5
-12+5b=65
5b=65+12
5b=77
b=77/5

f(x)=-12/5x+77/5
f(2)=-12/5.2+77/5
f(2)=-24/5+77/5
f(2)=53/5