Question : If the rational expression is defined for all real numbers, so state. 1) (z - 6/8) : 2152288

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find all values that make the rational expression undefined. If the rational expression is defined for all real numbers, so state.

1) (z - 6/8)

A) z = 0

B) z = -6

C) z = 6

D) Defined for all real numbers

2) (7/a - 6)

A) a = 6

B) a = 0

C) a = -6

D) Defined for all real numbers

3) (8/z + 9)

A) z = 9

B) z = -9

C) z = 0

D) Defined for all real numbers

4) (a - 4/8 - a)

A) a = -8

B) a = 8, a = 4

C) a = 8

D) Defined for all real numbers

5) (4/9x)

A) x = 4

B) x = 0

C) x = -9

D) Defined for all real numbers

6) (x + 7/(x + 3)(x - 6))

A) x = -3, x = 6

B) x = -7, x = -3, x = 6

C) x = -7

D) Defined for all real numbers

7) (5y - 2/y² - 9)

A) y = 3

B) y = (2/5)

C) y = 9

D) y = 3, y = -3

8) (x² - 81/x² + 19x + 90)

A) x = 9, x = -9

B) x = -9, x = -10

C) x = 9, x = -10

D) x = 0

9) (x² - 16/x² - 8x + 12)

A) x = 6, x = 2

B) x = 4, x = -4

C) x = -6, x = -2

D) x = 0

10) (49x² - 81/5x - 40)

A) x = 40

B) x = (9/7), x = - (9/7)

C) x = 8

D) Defined for all real numbers

11) (x³ + 9x⁴/x² + 49)

A) x = -7

B) x = -49

C) x = 0, x = - (1/9)

D) Defined for all real numbers

Simplify the rational expression. If the rational expression cannot be simplified, so state.

12) (12x³/4x)

A) 3x

B) 3x²

C) 8x²

D) 8

13) (4x⁴/16x⁸)

A) (1/4)

B) (1/4x⁴)

C) (1/4x¹²)

D) (x⁴/4)

14) (3x - 12/21)

A) (x - 12/7)

B) (x + 4/7)

C) (x + 12/7)

D) (x - 4/7)

15) (-24/3x - 18)

A) - (8/x - 6)

B) - (8/x + 6)

C) - (8/x - 18)

D) (8/x - 6)

16) (6y - 24/y - 4)

A) (1/6)

B) cannot be simplified

C) 6

D) 6y - 4

17) (10x - 18/9 - 5x)

A) 2

B) - (1/2)

C) -2

D) cannot be simplified

18) (40x - 45/9x - 8x²)

A) - (5/x)

B) -5

C) (5/x)

D) - (1/5x)

19) (2x - 14/42 - 6x)

A) -1

B) - (1/3)

C) 1

D) (1/3)

20) (x + 3/x - 4)

A) - (3/4)

B) cannot be simplified

C) 1

D) (3/4)

21) (5 - x/x - 5)

A) cannot be simplified

B) -m

C) -1

D) 1

22) (2x - 3/3 - 2x)

A) - (2/3)

B) -1

C) cannot be simplified

D) 1

23) (3x - 8/3x - 1)

A) 8

B) cannot be simplified

C) (3/x - 1)

D) 3

24) (x + 12/x² + 2x - 120)

A) x - 10

B) (1/x + 10)

C) cannot be simplified

D) (1/x - 10)