Question

Direction: Match column A with column B by writing the letter of the correct answer on the blank before each number. (Use a separate paper) Given: Column A Column B ______1. a. 3/(x+5) ______2. ( • ) b. ______3. c. ______4. (e/c)(x) d. -4/5 ______5. e. ______6. f. (x+2)/(x-7) ______7. ( • ) g. ______8. h. 1 ______9. (e/c)(-2) i. −6 ______10. j. 52 + 7 − 6 Direction: Match column A with column B by writing the letter of the correct answer on the blank before each number. (Use a separate paper) Given: Column A Column B ______1. a. 3/(x+5) ______2. ( • ) b. ______3. c. ______4. (e/c)(x) d. -4/5 ______5. e. ______6. f. (x+2)/(x-7) ______7. ( • ) g. ______8. h. 1 ______9. (e/c)(-2) i. −6 ______10. j. 52 + 7 − 6

Answer 1

Answer:

1 - g

2 - j

3 - e

4 - a

5 - f

6 - c

7 - i

8 - b

9 - h

10 - d

Step-by-step explanation:

For this question, given that

a(x) = x + 2  

b(x) = 5x - 3

c(x) = $\frac{x+5}{x-7}$

d(x) = $\sqrt{x+5}$

e(x) = $\frac{3}{x-7}$

1. (a+b)(x) = a(x) + b(x)

               = x + 2 + 5x - 3

               = 6x - 1 that matches with option g

2. (a.b)(x) = a(x) . b(x)

               = (x + 2) . (5x - 3)

               = 5x² -3x +10x -6

               = 5x² +7x -6 that matches with option j

3. (doa)x = d(a(x))

               = $\sqrt{(x+2)+5}$  

               = $\sqrt{x+7}$  that matches with option e

4. ($\frac{e}{c}$)x = $\frac{e(x)}{c(x)}$

          = $\frac{3}{x-7}$ /  $\frac{x+5}{x-7}$

          = $\frac{3}{x+5}$ that matches with option a

5. (c-e)x = c(x) - e(x)

               = $\frac{x+5}{x-7}$ - $\frac{3}{x-7}$

               = $\frac{x+5-3}{x-7}$

               = $\frac{x+2}{x-7}$ that matches with option f

6. (a+b)(-1) = a(-1) + b(-1)

               = (-1) + 2 + 5(-1) - 3

               = -1 + 2 - 5 - 3

               = -7 that matches with option c

7.  (a.b)(0) = a(0) . b(0)

               = (0 + 2) . (5*0 - 3)

               = 2.(0-3)

               = 2.(-3)

               = -6 that matches with option i

8.  (doa)(2)= d(a(2))

               = $\sqrt{(2+2)+5}$  

               = $\sqrt{2+7}$

               = $\sqrt{9}$

               = ±3 that matches with option b

9. ($\frac{e}{c}$)(-2) = $\frac{e(-2)}{c(-2)}$

          = $\frac{3}{(-2)-7}$ /  $\frac{(-2)+5}{(-2)-7}$

          = $\frac{3}{(-2)+5}$

          = $\frac{3}{3}$

          = 1 that matches with option h

10. (c-e)(2) = c(2) - e(2)

               = $\frac{2+5}{2-7}$ - $\frac{3}{2-7}$

               = $\frac{7}{-5}$ - $\frac{3}{-5}$

               = $-\frac{7}{5}$ + $\frac{3}{5}$

               = $\frac{-7+3}{5}$

               = $\frac{-4}{5}$ that matches with option d

Therefore, the final matches,

1 - g

2 - j

3 - e

4 - a

5 - f

6 - c

7 - i

8 - b

9 - h

10 - d