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
Dmitrij [34]
2 years ago
12

Consider the function f (x) = StartFraction x squared + 11 x minus 12 Over x minus 1 EndFraction.

Mathematics
2 answers:
Andreas93 [3]2 years ago
5 0

Answer:

C

Step-by-step explanation:

I said so

zhenek [66]2 years ago
4 0

Answer:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Step-by-step explanation:

We have the function:

f(x) = \frac{x^2 + 11*x  - 12}{x - 1}

Here we have a problem when x = 1, because that makes the denominator to be equal to zero.

For now, let's see what happens to the numerator when x = 1

1^2 + 11*1 - 12 = 12 - 12 = 0

So x = 1 is a root of the numerator.

Let's find the other root of the numerator, here we can use Bhaskara's formula:

x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1}  = \frac{-11 \pm 13}{2}

Then the two roots are:

x = (-11 + 13)/2 = 1

x = (-11 - 13)/2 = -12

And remember that a quadratic equation:

y = a*x^2 + b*x + c

With roots p and k, can be written as:

y = a*(x - p)*(x - k)

Then we can rewrite our numerator as:

1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)

Replacing that in the equation for f(x), we get:

f(x) = \frac{x^2 + 11*x  - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)}  = \frac{x - 1}{x -1} *(x + 12)

f(x) = x + 12

And, when evaluated in x = 1, we get:

f(1) = 1 + 12 = 13

Then the correct option is:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

You might be interested in
Please help is and example of ?
Helen [10]
I believe that it is B. Hope this helps!
5 0
3 years ago
Read 2 more answers
Ations with the Distributive Property<br> Solve the equation.<br> -3(y + 5)= 15
AlekseyPX
Y=-3 it is the answer.
6 0
3 years ago
What is the value of v? (help no links and thx)
madreJ [45]

Answer:

74.7

Step-by-step explanation:

8 0
2 years ago
The Reliable Car dealership sells cars and trucks. The cars and trucks
S_A_V [24]
The probilitu would be 1/3 becouse they are all evan and yeah
4 0
3 years ago
Please help!!! Number 8 please
Verdich [7]

Answer:

21.43 mph

Step-by-step explanation:

:)

4 0
2 years ago
Other questions:
  • find the area of the figure round to the nearest tenth if necessary. Please help need to finish this for tomorrow
    7·1 answer
  • Find the percent of a change from 10 yards to 13 yards.. How ??
    7·1 answer
  • 96,187 square miles. Round the area to the nearest ten.
    13·1 answer
  • Determine whether the fractions 3/6 and 2/4 are equivalent
    12·1 answer
  • A small company’s net income for the first six months of the year was $76,500 and for the last six months it was $100,000. What
    6·1 answer
  • Two pyramids like the one below sit on top of the gates at the entrance to the bridge.Which expression shows how to determine th
    15·2 answers
  • The student council is making corsages to sell at prom. They spent $350 on materials such as
    9·1 answer
  • Mhanifa please help look at the picture attached
    8·2 answers
  • Write five equations where the difference is equal to two​
    8·1 answer
  • Select the correct answer.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!