Question

Si: P(x) = 3x – 4
F(x) = 5x – m
Calcular "m" para que: P(P(1)) = F(3) – 14

Answer 1

P(P(x))= 3(3x-4)-4
P(P(x))= 9x - 12 -4
P(P(x)) = 9x -16

P(P(1)) = 9(1) - 16 = 9 - 16 = -7
P(P(1))= 7

F(3) = 5(3) - m
F(3) = 15 - m

P(P(1)) = F(3)     - 14
  7         = 15 - m - 14
         m = 15 -14 - 7
         m = -6