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
You've randomly surveyed some students in your science class to find the number of hours per week they study. what is the mean,
seropon [69]
D. 5.45 hrs based on your sample
8 0
3 years ago
If 3b+2-6b=32+5b-2b, find b
natulia [17]

I believe the answer is b= -5

3 0
2 years ago
Read 2 more answers
What is 50 over 30 reduced fraction please?
LekaFEV [45]
1 2/3 is the answerrrrrrr
7 0
3 years ago
Match the equation with its corresponding solution for x: 4x+7=35
Goryan [66]
4x+7=35
4x=28
x=7

A corresponding solution of the matching equation is a fancier way of telling you to find the number that represents x
7 0
3 years ago
|0.7x+5|&gt;6.7<br><br>Help plz
Pavlova-9 [17]

Answer:

\large\boxed{x\dfrac{17}{7}}\\\downarrow\\\boxed{x\in\left(-\infty,\ -\dfrac{117}{7}\right)\ \cup\ \left(\dfrac{17}{7};\ \infty\right)}

Step-by-step explanation:

|0.7x+5|>6.7\iff0.7x+5>6.7\ or\ 0.7x+56.7\qquad\text{subtract 5 from both sides}\\0.7x>1.7\qquad\text{divide both sides by 0.7}\\x>\dfrac{1.7}{0.7}\to x>\dfrac{17}{7}\\\\(2)\\0.7x+5

5 0
2 years ago
Other questions:
  • Match each quadratic graph to its respective function
    14·1 answer
  • A truck is purchased for $17,000 and will depreciate in value 20% the first year. What will be the value of the truck one year a
    12·2 answers
  • Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)
    6·1 answer
  • Number two thanksss
    11·2 answers
  • U-5=-4(v-1) <br> What is f(v)=
    15·1 answer
  • A pair of running shoes had a regular price of $65.00. The shoes are on sale for 20% off. The sales tax is 8%. What is the total
    6·1 answer
  • Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.
    8·1 answer
  • The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 5 or more?
    7·1 answer
  • Please help. Thank you I am out of points because people are stealing them.
    15·1 answer
  • ethan puts 1/3 pound of dog food into dog bowls every time he fills it. How many times can ethan fill his dog's bowl with 5 poun
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!