Question

f(1-x) + 2f(x) = 3x. determine o valor de F(0).
a)-2
b)-1
c)0
d)1
e)2

Answer 1

Oi Allstar 

f(1 - x) + 2f(x) = 3x

f(x) = ax + b

f(1 - x) = a*(1 - x) + b = -ax + a + b
2f(x) = 2ax + 2b

-ax + a + b + 2ax + 2b = 3x

ax + a + b + 2b = 3x

a = 3

3 + 3b = 0
b = -1

f(x) = 3x - 1

f(0) = -1 (B)