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2. P(x - 1) = x + 1 P(Q(x)) = 4x + 5 Calcular : Q(3) x - 1 = Q(x) x = Q(x) + 1 Entonces : P(Q(x)) = 4x + 5 x + 1 = 4x + 5 Q(x) + 1 + 1 = 4x + 5 Q(x) = 4x + 3 Piden : Q(3) Q(3) = 4x + 3 = 4(3) + 3 = 15 3.

Mejor respuesta

Marthabibi
9

2. P(x - 1) = x + 1

P(Q(x)) = 4x + 5

Calcular : Q(3)

x - 1 = Q(x)

x = Q(x) + 1

Entonces :

P(Q(x)) = 4x + 5

x + 1 = 4x + 5

Q(x) + 1 + 1 = 4x + 5

Q(x) = 4x + 3

Piden : Q(3)

Q(3) = 4x + 3 = 4(3) + 3 = 15

3.

G(x) = x

P(x) + Q(x) = 2x² + 8 +

P(x) - Q(x) = 8x - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

2P(x) = 2x² + 8 + 8x

P(x) = x² + 4 + 4x

También :

P(x) - 8x = Q(x)

x² + 4 + 4x - 8x = Q(x)

x² + 4 - 4x = Q(x)

Piden : G(Q(P(0)))

1° Paso : P(0) = P(x) = x² + 4 + 4x

x = 0

P(0) = 0² + 4 + 4(0) = 4

Piden : G(Q(4))

2° Paso : Q(4) = Q(x) = x² + 4 - 4x

x = 4

Q(4) = 4² - 4 - 4(4) = 4

Piden : G(4)

3° Paso : G(4) = G(x) = x

x = 4

G(4) = 4

4.

P(x) = x³ - 5x² + 4x + 1

Piden : P(2) + P( - 1)

P(2) = P(x) = x³ - 5x² + 4x + 1

x = 2

P(2) = 2³ - 5(2)² + 4(2) + 1 = 8 - 20 + 8 + 1 = - 3

P( - 1) = P(x) = x³ - 5x² + 4x + 1

x = - 1

P( - 1) = ( - 1)³ - 5( - 1)² + 4( - 1) + 1 = - 1 - 5 - 4 + 1 = - 9

P(2) + P( - 1) = - 3 - 9 = - 12

5.

P(x) = ax² + 2x - 1

P( - 2) = 7

Piden : a

P(x) = P( - 2) = ax² + 2x - 1 = 7

x = - 2

ax² + 2x - 1 = 7

a( - 2)² + 2( - 2) - 1 = 7

4a - 4 - 1 = 7

4a = 12

a = 3

7.

9x³y⁴ⁿzᵃ⁻ⁿ m = a

GR(y) = 16

GA = 20

4n = 16

n = 4

3 + 4n + m - n = 20

2 + 3n + m = 20

m = 5

Piden : m .

N = 5 .

4 = 20

8.

4 / x²ᵃ⁺² .

Yⁿ⁺⁴ a = m

4yⁿ⁺⁴x⁻²ᵃ⁻²

GR(Y) = 12

n + 4 = 12

n = 8

GR(x) = - 2a - 2

GR(x) 4 - - - - - - - - = - - - -

GR(y) 3

3GR(x) = 4GR(y)

3( - 2a - 2) = 4(12) - 6a - 6 = 48 - 54 = 6a - 9 = a

GA = n + 4 - 2a - 2 = 12 - 2( - 9) - 2 = 28

9.

P(x) = 3x³ + 2

Piden

( P( - 1) )² ( P(0) )

E = ( P(2) )

P( - 1) = 3x³ + 2

x = - 1

P( - 1) = 3( - 1)³ + 2 = - 1

P(0) = 3x³ + 2

x = 0

P(0) = 3(0)³ + 2 = 2

P(2) = 3x³ + 2

x = 2

P(2) = 3(2)³ + 2 = 26

Piden

( P( - 1) )² ( - 1 )² ( P(0) ) ( 2 ) 2⁻¹.

2¹ 2⁰

E = ( P(2) ) = (26 ) = 26 = 26 = 26¹ = 26.

Otras 1 respuestas

Respuesta 2

Karlitajs23
7

P(x - 1) = x + 1P(Q(x)) = 4x + 5Calcular : Q(3)x - 1 = Q(x)x = Q(x) + 1Entonces : P(Q(x)) = 4x + 5x + 1 = 4x + 5Q(x) + 1 + 1 = 4x + 5Q(x) = 4x + 3Piden : Q(3)Q(3) = 4x + 3 = 4(3) + 3 = 153.

G(x) = xP(x) + Q(x) = 2x² + 8 + P(x) - Q(x) = 8x - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2P(x) = 2x² + 8 + 8xP(x) = x² + 4 + 4xTambién : P(x) - 8x = Q(x)x² + 4 + 4x - 8x = Q(x)x² + 4 - 4x = Q(x)Piden : G(Q(P(0)))1° Paso : P(0) = P(x) = x² + 4 + 4xx = 0P(0) = 0² + 4 + 4(0) = 4Piden : G(Q(4))2° Paso : Q(4) = Q(x) = x² + 4 - 4xx = 4Q(4) = 4² - 4 - 4(4) = 4Piden : G(4)3° Paso : G(4) = G(x) = xx = 4G(4) = 44.

P(x) = x³ - 5x² + 4x + 1Piden : P(2) + P( - 1)P(2) = P(x) = x³ - 5x² + 4x + 1x = 2P(2) = 2³ - 5(2)² + 4(2) + 1 = 8 - 20 + 8 + 1 = - 3P( - 1) = P(x) = x³ - 5x² + 4x + 1x = - 1P( - 1) = ( - 1)³ - 5( - 1)² + 4( - 1) + 1 = - 1 - 5 - 4 + 1 = - 9P(2) + P( - 1) = - 3 - 9 = - 125.

P(x) = ax² + 2x - 1P( - 2) = 7Piden : aP(x) = P( - 2) = ax² + 2x - 1 = 7x = - 2ax² + 2x - 1 = 7a( - 2)² + 2( - 2) - 1 = 74a - 4 - 1 = 74a = 12a = 37.

9x³y⁴ⁿzᵃ⁻ⁿ m = aGR(y) = 16GA = 204n = 16n = 43 + 4n + m - n = 202 + 3n + m = 20m = 5Piden : m .

N = 5 .

4 = 208.

4 / x²ᵃ⁺² .

Yⁿ⁺⁴ a = m4yⁿ⁺⁴x⁻²ᵃ⁻²GR(Y) = 12n + 4 = 12n = 8GR(x) = - 2a - 2GR(x) 4 - - - - - - - - = - - - - GR(y) 33GR(x) = 4GR(y)3( - 2a - 2) = 4(12) - 6a - 6 = 48 - 54 = 6a - 9 = aGA = n + 4 - 2a - 2 = 12 - 2( - 9) - 2 = 289.

P(x) = 3x³ + 2PIDEN : ( P( - 1) )² ( P(0) )E = ( P(2) )P( - 1) = 3x³ + 2x = - 1P( - 1) = 3( - 1)³ + 2 = - 1P(0) = 3x³ + 2x = 0P(0) = 3(0)³ + 2 = 2P(2) = 3x³ + 2x = 2P(2) = 3(2)³ + 2 = 26PIDEN : ( P( - 1) )² ( - 1 )² ( P(0) ) ( 2 ) 2⁻¹.

2¹ 2⁰E = ( P(2) ) = (26 ) = 26 = 26 = 26¹ = 26lo siento creo que fue lo mismo de la otra persona pero al menos respondi.