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
MrRissso [65]
3 years ago
13

Find any points of discontinuity for the rational function. y=x-5/x^2-7x-8

Mathematics
2 answers:
Crazy boy [7]3 years ago
4 0

Answer:

<em>The function is not continuous at </em><em>x= -1</em><em> and </em><em>x= 8</em>

Step-by-step explanation:

The given function is,

y=\dfrac{x-5}{x^2-7x-8}

Factoring the denominator,

=x^2-7x-8

=x^2-8x+x-8

=x(x-8)+1(x-8)

=(x+1)(x-8)

Now the function becomes,

y=\dfrac{x-5}{(x+1)(x-8)}

The function is not defined (it does not exist) for x= -1 and for x= 8, because the denominator is zero for those values of x.

To be continuous, the function has to be defined. So at those points the function is not continuous.

*At x= -1 and at x= 8 , the function has a vertical asymptote.

kotegsom [21]3 years ago
3 0
For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ). 
You might be interested in
A relay race covers 1 1/2 kilometers, and each runner on a team will rub 1/4 of a kilometers. How many runners are needed for a
VikaD [51]
We need to find how many 1/4 groups are in 1 1/2.
I work better with decimals, so I'll just convert them into decimals. We're dividing to see how many people we need.
1.5÷0.25
6
So, you'll need 6 runners for the relay race.
8 0
3 years ago
Read 2 more answers
Given the degree of measure of angle KJH is 66 degrees find the measure in radians​
Mrrafil [7]

9514 1404 393

Answer:

  E)  0.366π

Step-by-step explanation:

There are π/180 radians in a degree.

  66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians

__

11/30 = 0.366... repeating, so would normally be rounded to 0.367

3 0
3 years ago
Read 2 more answers
7 times as much as the sum of 1/3 and 4/5
Jet001 [13]
First of all, you add 1/3 and 4/5, so you get:
\frac{1}{3} +  \frac{4}{5}

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
\frac{1*5}{3*5} +  \frac{4*3}{5*3}
\frac{5}{15} +  \frac{12}{15}

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
\frac{5+12}{15}
\frac{17}{15}

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
\frac{17}{15} *  \frac{7}{1}

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
\frac{17*7}{15*1}
\frac{119}{15}

Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15. 

Hope this Helps! :D
7 0
3 years ago
Read 2 more answers
Solve by using substitution
chubhunter [2.5K]

f^-1 = 2x - 4

g^-1 = 4/5 + 2/5x

7 0
3 years ago
Which best describes the range of the function f(x)=2/3(6)x after it has been reflected over the x axis
shtirl [24]
The range is all real numbers.

The function given simplifies to just f(x) = 4x.

This is just a straight line that is increasing from left to right. If we reflect the line over the x-axis, it is still a line that goes on forever in each direction.

Therefore, the range will be all real numbers.
4 0
3 years ago
Read 2 more answers
Other questions:
  • When a scatter chart of data shows a nonlinear relationship, the nonlinear model can be expressed as:______.
    11·1 answer
  • A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. How many sq
    13·1 answer
  • The expression 3^2*3^3*3^4 is equivalent to?<br> Show all your work please
    11·2 answers
  • Find the distance C by using Phytogreon Theorem &amp; distance formula <br>B (-1,5 . -4,5)​
    14·1 answer
  • In your own words describe the steps you take to round a decimal
    13·1 answer
  • What is the solution to the equation below? 3x + 29.5 = - 75.5
    5·1 answer
  • Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?
    7·1 answer
  • 1 mark question plese give me answer​
    10·2 answers
  • Determine the period of the following graph.
    7·2 answers
  • What is the interquartile range (IQR) of the data set represent by this box plot
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!