Question

Sendo f (x)=ax+b, f (0) = 4 e f(-1) = 1, calucule os valores de a e b.

Answer 1

f(x) = ax + b

f(0) = 4

f(0) = a.0 + b
f(0) = b

f(0) = 4
b = 4

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

f(-1) = 1
-a + b = 1

mas b = 4

-a + 4 = 1
-a = 1 - 4
-a = -3
a = 3