1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natasha2012 [34]
3 years ago
7

Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantit

y.
(−[infinity], 2) (2, [infinity])

(−[infinity], −2) (−2, [infinity])

(−[infinity], 1) (1, [infinity])

(−[infinity], −1) (−1, [infinity])
Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

(- \infty, 2), (2, \infty)

Step-by-step explanation:

Given the function:

f(x) = \dfrac{x+1}{x-2}

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of  domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

OR

Domain of a function f(x) are the values of x for which the output f(x) is a valid value.

i.e. The function does not tend to \infty or does not have \frac{0}0 form.

So, we will check for the values of x for which f(x) is not defined.

For value to tend to \infty, denominator will be 0.

x-2\neq 0 \\\Rightarrow x \neq 2

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function f(x).

Hence, the answer is:

\bold{(- \infty, 2), (2, \infty)}     [2 is not included in the domain].

You might be interested in
Mrs. Garcia is painting a portion of her wall as shown.
Alexandra [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
Help ASAP and explain why!!!
laila [671]

Answer:

c. Side-Angle-Side

Step-by-step explanation:

Two sides (AB and AC) and an included angle (<BAC) in triangle ∆ABC are congruent to two corresponding sides (AD and AC) and an included corresponding angle (<DAC) in ∆ADC.

Therefore, by the SAS Congruence Theorem, both triangles are congruent.

5 0
2 years ago
In how many ways can 6 states be selected from the top 11 states with the most murders if the order of the 6 states does not mat
Ratling [72]
The answer should be 15.4.

7 0
3 years ago
-5(k + 6) + 7(k – 4)
sergiy2304 [10]

Answer:

2k-58

Step-by-step explanation:

-5(k+6) + 7(k-4)

-5k-30+7k-28

2k-48

5 0
3 years ago
Find the sum 1/6 (12C + 24) + 1/3(12- 3)<br><br>a-b-c- or d
Anarel [89]
<span>1/6 (12C + 24) + 1/3(12 c -  3) = 

12 c/ 6  + 4 +12c / 3 - 1 = 

2c +4 + 4 c -1 

6c +3 </span>
7 0
3 years ago
Other questions:
  • Some pupils from your school participate in sports games; precisely 2/31 participate in athletics and 1/9 in volleyball games. K
    9·1 answer
  • Which of the following represents 1 a. [1, 6]<br> b. (1,6]<br> C. (1,6)<br> d. (1,6)
    7·1 answer
  • Can someone help me with this problem! My smoll brain cant figure it out
    12·1 answer
  • a private university is accepting applications for enrollment.Out 2000 applicants 950 meet the GPA requiremnets,600 volunteer fo
    8·1 answer
  • The sum of 1-3/4 6-3/8 and 1-23/32
    10·1 answer
  • .......Help Please......
    12·1 answer
  • 51/8 in a fraction ?
    13·2 answers
  • How do you tell someone you like them if you get nervous around them?
    9·1 answer
  • Select all of the situations which can be represented by the expression 25.75x + 10.
    9·1 answer
  • PLZ HELP ME I WAS STUCK ON THIS FOR 30 MINS WILL GIVE BRAINLIST
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!