X+5 4
x+5
4
14. Which of the following is a rational function?
4x-10
A. f(x) = 2x² - 7
C. f(x) =
B. x +2 23 D.**-12
15. Which of the following is considered rational inequality?
A. X +355
C. f(x) =
B.52***
D. X + 2
16. What do you call a root obtained in the process of
solving an equation which looks correct but after
analyzing it turns out as incorrect?
A. extraneous solution C. least common denominator
B. rational expression D. quotient
For items 17-18, refer to the rational equation:
4 2
17. What will be the new form of the equation when it is
multiplied by its least common denominator?
A. 4x +3= 6x
C. 3x + 4 = 2x
B. 6x + 4 = 3x
D. 12x + 3 = 12
18. What will be the solution of the given rational equation?
A.
B.
C. 2 D. 3
19. Solve for the solution set of the rational inequality
1
3
6
3
3
2
5
3
x-3
x+1
A. (-00-7 U (-1,00) C. (-00, -1) U (3, 0)
B. (-7, -1) U (3,0) D. (-7, -1] U (3.)
by
4
For numbers 20 - 22 refer to the function, f(x) = -- and whose
graph is given below.
20. What is the domain of f(x)?
A. x=2 C. x=2
B. y = 1 D. y 1
Em2
21. What is the range of f(x)?
A. X=2 C. X2
B. y=1 D. y 1
-2 +6
(x)?
22. What is the vertical asymptote of f(x)?
A. X=2 B. X²2 C. y=1

c on everything

Step-by-step explanation:

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

it has 4

step-by-step explanation:

les

elee

fg

elle

fetish

ser

el

le

f

lent

clee hd

lg

ad

be

hu

te

see

te

ele

cele

her

t

errel

c

s​