La composició de dues funcions
Author: Enric Brasó

Mou el punt vermell

f

g

10

10

10

-10

-15

-10

0

0

-10

-5

-5

5

0

-5

5

5

f(x) =

g(x) =

g o f

g(x) = x^(2)
f(x) = x - 3
A = Point(a)
AF: (10, f(y(A)))
u = Vector(A, AF)
B = Midpoint(A, AF)
yM: f(y(A))
A1 = 10
B1 = 15
B2: B1 - 1
B3: B2 - 1
B4: B3 - 1
B5: B4 - 1
B6: B5 - 1
B7: B6 - 1
B8: B7 - 1
B9: B8 - 1
B10: B9 - 1
B11: B10 - 1
B12: B11 - 1
B13: B12 - 1
B14: B13 - 1
B15: B14 - 1
B16: B15 - 1
B17: B16 - 1
B18: B17 - 1
B19: B18 - 1
B20: B19 - 1
B21: B20 - 1
B22: B21 - 1
B23: B22 - 1
B24: B23 - 1
B25: B24 - 1
B26: B25 - 1
B27: B26 - 1
B28: B27 - 1
B29: B28 - 1
B30: B29 - 1
B31: B30 - 1
A2 = 10
A3 = 10
A4 = 10
A5 = 10
A6 = 10
A7 = 10
A8 = 10
A9 = 10
A10 = 10
A11 = 10
A12 = 10
A13 = 10
A14 = 10
A15 = 10
A16 = 10
A17 = 10
A18 = 10
A19 = 10
A20 = 10
A21 = 10
A22 = 10
A23 = 10
A24 = 10
A25 = 10
A26 = 10
A27 = 10
A28 = 10
A29 = 10
A30 = 10
A31 = 10
C1 = 20
D1: B1
C2 = 20
D2: B2
C3 = 20
D3: B3
C4 = 20
D4: B4
C5 = 20
D5: B5
C6 = 20
D6: B6
C7 = 20
D7: B7
C8 = 20
D8: B8
C9 = 20
D9: B9
C10 = 20
D10: B10
C11 = 20
D11: B11
C12 = 20
D12: B12
C13 = 20
D13: B13
C14 = 20
D14: B14
C15 = 20
D15: B15
C16 = 20
D16: B16
C17 = 20
D17: B17
C18 = 20
D18: B18
C19 = 20
D19: B19
C20 = 20
D20: B20
C21 = 20
D21: B21
C22 = 20
D22: B22
C23 = 20
D23: B23
C24 = 20
D24: B24
C25 = 20
D25: B25
C26 = 20
D26: B26
C27 = 20
D27: B27
C28 = 20
D28: B28
C29 = 20
D29: B29
C30 = 20
D30: B30
C31 = 20
D31: B31
C: (A1, B1)
D: (A2, B2)
E: (A3, B3)
F: (A4, B4)
G: (A5, B5)
H: (A6, B6)
I: (A7, B7)
J: (A8, B8)
K: (A9, B9)
L: (A10, B10)
M: (A11, B11)
N: (A12, B12)
O: (A13, B13)
P: (A14, B14)
Q: (A15, B15)
R: (A16, B16)
S: (A17, B17)
T: (A18, B18)
U: (A19, B19)
V: (A20, B20)
W: (A21, B21)
Z: (A22, B22)
B_1: (A23, B23)
C_1: (A24, B24)
D_1: (A25, B25)
E_1: (A26, B26)
F_1: (A27, B27)
G_1: (A28, B28)
H_1: (A29, B29)
I_1: (A30, B30)
J_1: (A31, B31)
llista1: {C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Z, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1}
K_1: (C1, D1)
L_1: (C2, D2)
M_1: (C3, D3)
N_1: (C4, D4)
O_1: (C5, D5)
P_1: (C6, D6)
Q_1: (C7, D7)
R_1: (C8, D8)
S_1: (C9, D9)
T_1: (C10, D10)
U_1: (C11, D11)
V_1: (C12, D12)
W_1: (C13, D13)
Z_1: (C14, D14)
B_2: (C16, D16)
C_2: (C17, D17)
D_2: (C18, D18)
E_2: (C19, D19)
F_2: (C20, D20)
G_2: (C21, D21)
H_2: (C22, D22)
I_2: (C23, D23)
J_2: (C24, D24)
K_2: (C25, D25)
L_2: (C26, D26)
M_2: (C27, D27)
N_2: (C28, D28)
O_2: (C29, D29)
P_2: (C30, D30)
Q_2: (C31, D31)
AFG: (20, g(y(AF)))
llista2: {K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, AFG, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2, N_2, O_2, P_2, Q_2}
v_2 = Vector(AF, AFG)
T3: " f(" + (y(A)) + ")=" + (f(y(A))) + ""
B_3 = Midpoint(AF, AFG)
E1 = 0
F1: D1
E2 = 0
F2: D2
E3 = 0
F3: D3
E4 = 0
F4: D4
E5 = 0
F5: D5
E6 = 0
F6: D6
E7 = 0
F7: D7
E8 = 0
F8: D8
E9 = 0
F9: D9
E10 = 0
F10: D10
E11 = 0
F11: D11
E12 = 0
F12: D12
E13 = 0
F13: D13
E14 = 0
F14: D14
E15 = 0
F15: D15
E16 = 0
F16: D16
E17 = 0
F17: D17
E18 = 0
F18: D18
E19 = 0
F19: D19
E20 = 0
F20: D20
E21 = 0
F21: D21
E22 = 0
F22: D22
E23 = 0
F23: D23
E24 = 0
F24: D24
E25 = 0
F25: D25
E26 = 0
F26: D26
E27 = 0
F27: D27
E28 = 0
F28: D28
E29 = 0
F29: D29
E30 = 0
F30: D30
E31 = 0
F31: D31
A_1: (E1, F1)
R_2: (E2, F2)
S_2: (E3, F3)
T_2: (E4, F4)
U_2: (E5, F5)
V_2: (E6, F6)
W_2: (E7, F7)
Z_2: (E8, F8)
A_3: (E9, F9)
C_3: (E10, F10)
D_3: (E11, F11)
E_3: (E12, F12)
F_3: (E13, F13)
G_3: (E14, F14)
H_3: (E15, F15)
I_3: (E16, F16)
J_3: (E17, F17)
K_3: (E18, F18)
L_3: (E19, F19)
M_3: (E20, F20)
N_3: (E21, F21)
O_3: (E22, F22)
P_3: (E23, F23)
Q_3: (E24, F24)
R_3: (E25, F25)
S_3: (E26, F26)
T_3: (E27, F27)
U_3: (E28, F28)
V_3: (E29, F29)
W_3: (E30, F30)
Z_3: (E31, F31)
llista3: {A_1, R_2, S_2, T_2, U_2, V_2, W_2, Z_2, A_3, C_3, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, W_3, Z_3}
llista4: {B1, B2, B3, B4, B5, B6, B7, B8, B9, B10, B11, B12, B13, B14, B15, B16, B17, B18, B19, B20, B21, B22, B23, B24, B25, B26, B27, B28, B29, B30, B31}
FG: y(AFG)
text1: "g(" + yM + ")=" + FG + ""
text15: "" + B1 + ""
B1_1 = 15
B2_1: B1_1 - 1
D1_1: B1_1
text15_1: "" + B1_1 + ""
B1_2 = 15
B2_2: B1_2 - 1
D1_2: B1_2
tex15: "" + B1_2 + ""
B1_3 = 15
B2_3: B1_3 - 1
D1_3: B1_3
CampDeText1 = Textfield(f)
CampDeText2 = Textfield(g)
v = Vector(A, AFG)
A_2 = Midpoint(A, AFG)
T2: "MOU-ME!  
            x=" + (y(A)) + ""