Matematicas

1. Dada f(x) ₌ 3x + 2, calcule:

a. F(1)

F (1) ₌ 3(1) + 2 ₌ 5

b. F (-2)

F (- 2) ₌ 3 (-2) + 2 ₌ -6 + 2 ₌ - 4

c. F (x2)

F (x2) 3 (x2) + 2 ₌ 3x2 + 2

d. F(x +h )

F(x +h) ₌ 3 (x +h) + 2 ₌ 3x + 3h +2

2. Dada f(x) ₌ 5 – 2x, calcule:

a. F(3)

F (3) ₌ 5 – 2 (3) ₌ 5 – 6 ₌ -1

b. F (-1)

F (-1) ₌ 5 – 2 (-1) ₌ 5 + 2 ₌ 7

c. F (x)

F (x) ₌ 5 – 2 (x) ₌ 5 – 2x

d. F(x +h )

F(x +h) ₌ 5 - 2(x +h) ₌ 5 - 2x - 2h

3. Dada f(x) ₌ 5t + 7, calcule:

a. F (1)

F (1) ₌ 5 (1) + 7 ₌ 5 + 7 ₌ 12

b. F (-3)

F (-3) ₌ 5(-3) + 7 ₌ - 15 + 7 ₌ -8

c. F (c)

F (c) ₌ 5 (c) + 7 ₌ 5c + 7

d. F(1 + c)

F (1 + c) ₌ 5(1 + c) + 7 ₌ 5 + 5c + 7 ₌ 12 + 5c

e. F (1) + (c)

F (1) + (c) ₌ 5(1) + 7 + 5(c) + 7 ₌ 5 + 7 + 5c + 7 ₌ 19 + 5c

4. Dada f(x) ₌ 3 – 4x , calcule:

a. F(a)

F(a) ₌ 3 – 4 (a) ₌ 3 – 4 a

b. F(a+1)

F (a+1) ₌ 3 – 4 (a+1) ₌ 3 – 4 a – 4 ₌ -1 – 4 a

c. F(a) + f(1)

F (a) + (1) ₌ 3 – 4 (a) + 3 – 4(1) ₌ 3 + 4 a + 3 – 4 ₌ 2 - 4 a

5. Dada f(x) ₌ x2, calcule:

a. F (3)

F (3 ₌ (3)2 ₌ 9

b. F (-2)

F (-2) ₌ (-2)2 ₌ 4

c. F (a)

F(a) ₌ (a)2 ₌ a2

d. F(√

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