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
Natalka [10]
3 years ago
14

What is the domain of the function f(x) = x+1 / x2-6x+8

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

f (x) = \frac {x + 1} {x ^ 2-6x + 8}

The given function is not defined when the denominator is equal to zero. That is to say:

x ^ 2-6x + 8 = 0

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

-4-2 = -6\\-4 * -2 = 8

Thus, the factored polynomial is:

(x-4) (x-2) = 0

That is to say:

x_ {1} = 4\\x_ {2} = 2

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

You might be interested in
The numbers of blocked intrusion attempts on each day during the first two weeks of
Marrrta [24]

<u>(a) Construct a 95% confidence interval for the difference between the average number of intrusion attempts per day before and after the change of firewall setting (assume equal variance)</u>

4 0
2 years ago
Read 2 more answers
Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure?
kkurt [141]

Answer:

a

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help pls I need help with this question anyone??
Neporo4naja [7]

Answer:

I think red

Step-by-step explanation:

SRY i I am wrong

4 0
3 years ago
What type of relationship does this equation represent?
Klio2033 [76]

Answer:

Nonproportional

Step-by-step explanation:

hope it helps.

8 0
2 years ago
Read 2 more answers
Rachel earned 34$, 34 in 4 hours at her job today
forsale [732]
If you're asking how much she made per hour, it would be 8.5$
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the degree of y= x2
    15·1 answer
  • Anybody got the answer to this?
    15·1 answer
  • Kevin, Michael and Darren all do their own laundry at home. Kevin does his laundry every 9 days, Michael every 10 days, and Darr
    12·2 answers
  • PLS HELP!!! I WILL MARK BRAINLIEST!!
    12·1 answer
  • Shelby has Five-sixths of a gallon of water in a container. She pours One-sixth of a gallon of the water into a second container
    8·1 answer
  • What is the unit rate of 320 to 16
    13·1 answer
  • What is the 12th term of the linear sequence below?<br> 7,9,11,13,15
    14·2 answers
  • A Cylinder has a radius of 10 feet and a height of 11.4 feet what is the approximate volume of the cylinder?
    15·2 answers
  • Multiplying Polynomials Distributive property<br> 4a^2(a^5-2a^4+a)
    9·1 answer
  • Am I doing this equation right
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!