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
Maksim231197 [3]
1 year ago
12

Given 3x^2+x-4/x-1 what are the domain and range

Mathematics
1 answer:
Katarina [22]1 year ago
6 0

Answer:

  • doman: x ≠ 1
  • range: y ≠ 7

Step-by-step explanation:

The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.

<h3>Simplified</h3>

The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...

  \dfrac{3x^2+x-4}{x-1}=\dfrac{(x-1)(3x+4)}{(x-1)}=3x+4\quad x\ne 1

<h3>Domain</h3>

The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...

  x ≠ 1

In interval notation, this is ...

  (-∞, 1) ∪ (1, ∞)

<h3>Range</h3>

The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...

  y ≠ 7

In interval notation, this is ...

  (-∞, 7) ∪ (7, ∞)

You might be interested in
How do you solve 14p−8=22+20p ?
Zanzabum

The value of p is -5

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

14p-8=22+20p\\or, 14p-20p=22+8\\or, -6p=30\\or, p=-\frac{30}{6} \\or, p= -5

To learn more about cross multiplication visit: brainly.com/question/29190202

#SPJ4

7 0
1 year ago
The buying rate and selling rate of a Australian dollar in a bank are rs 80.20and rs 81.40respectively how much Australian dolla
olya-2409 [2.1K]

Answer:

5000 Australian Dollars

Step-by-step explanation:

To find out how many Australian dollars need to be sold, we first need to find the profit of a single dollar sold.

We will be using the formula for profit, which is:

Profit = Total Revenue - Total Cost

Now we define the available variables.

Total Revenue = 81.40

Total Cost = 80.20

Profit = 81.40 - 80.20

Profit = rs 1.20/dollar

Now we have to find how many dollars we have to sell to get a profit of rs 6000.

We simply divide the amount of profit that we want to the price per dollar.

Total Profit = 6000

Profit per dollar = 1.20

This give us:

6000 / 1.20 = 5000 Australian Dollars.

4 0
3 years ago
Form a polynomial whose real zeros and degree are given.<br> Zeros: – 4, 0, 6;<br> degree: 3
Firdavs [7]

Answer:

?

Step-by-step explanation:

8 0
3 years ago
Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16
Sati [7]
I think is uh.. i think is uh carrot
5 0
3 years ago
Find the first four terms of the sequence an = 4n-6
natulia [17]

Answer:

The first four terms of the sequence are-6, -2, 2 and 6

Step-by-step explanation:

The given sequence is a_n=4n-6

In order to find the first four term of the sequence we put n =0, 1, 2 and 3.

For n =0

a_0=4(0)-6=-6

For n =1

a_1=4(1)-6=-2

For n =2

a_2=4(2)-6=2

For n =3

a_3=4(3)-6=6

Therefore, the first four terms of the sequence are

-6, -2, 2 and 6

5 0
3 years ago
Other questions:
  • Please help I'm struggling.​
    8·1 answer
  • Type the correct answer in the box use/ for the fraction bar
    9·1 answer
  • Which of the following statements about a variable are true?
    7·2 answers
  • Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $5
    5·1 answer
  • A fruit company delivers Its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t
    5·1 answer
  • Hellppppppppppppppppppppppp
    14·1 answer
  • Hey can you help me pls
    12·2 answers
  • STRUCTURE Find the slope of the line that passes through the pair of points.<br> (0,1)<br> (1,-2)
    9·2 answers
  • Is 9 a solution to the equation: 3x – 5 = 4 + 2x?​
    13·2 answers
  • I don’t know this question and it’s really bugging me
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!