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
Ann will randomly select a bead from the package and then without replacing it randomly select a second bead based on the inform
san4es73 [151]

Answer:.......

Probability = \frac{g}{g+o}  + \frac{g-1}{g+o}

Step-by-step explanation:

Let g represent the number of green beads , and  o represent the number of orange beads.

due to the fact that Ann is selecting the bead without replacing i randomly

the probability (Pr) of Ann selecting a green bead and then an orange one  =\frac{g}{g+o} +\frac{g-1}{g+o}

7 0
3 years ago
Help me asap ill give brainliest
disa [49]

Answer:

-6, -2, 1, 8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 3 x 4/5 equal too?
sineoko [7]
12/5 is the answer!

Hope I helped!
Ps: symbolab.com is a great calculator to help solve those type of problems :-)
5 0
3 years ago
Read 2 more answers
Given: K=2∙33∙11∙172and M=3∙11∙173<br><br> Evaluate 18·M÷K.
gayaneshka [121]

Answer:

  1557/1892

Step-by-step explanation:

Your calculator can do this:

\dfrac{18M}{K}=\dfrac{18\cdot 3\cdot 11\cdot 173}{2\cdot 33\cdot 11\cdot 172}=\dfrac{18\cdot 173}{2\cdot 11\cdot 172}\\\\=\dfrac{1557}{1892}

6 0
3 years ago
Consider the line y = 3x - 1.
padilas [110]

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line is

y = 3x - 1

This equation is written in the slope-intercept form, y = mx + b, where m is the slope.

slope of given line = m = 3

slope of perpendicular line = -1/3

Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)

y = mx + b

y = -1/3x + b

3 = (-1/3)(-8) + b

3 = 8/3 + b

9/3 = 8/3 + b

b = 1/3

y = -1/3x + b

y = -1/3x + 1/3

8 0
3 years ago
Other questions:
  • There are 6 minutes of commercials for every 24 minutes of television. How many minutes of commercials are there in 1 hour and 3
    5·1 answer
  • A process is controlled with a fraction nonconforming control chart with three-sigma limits, n = 100, UCL = 0.161, center line =
    9·1 answer
  • Simplify 2.8d-6+3.8-3.1d
    5·1 answer
  • PLZZ HELP
    5·2 answers
  • In a first -aid kit the ratio of large bandages is 3 to 2. Based on this ratio, how many large bandages are in the kit if there
    7·1 answer
  • Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
    14·2 answers
  • Debbie works in a warehouse. Each cart that she uses to move boxes can hold no more than 200 pounds. If each box she puts on the
    5·1 answer
  • joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
    9·1 answer
  • after a deposit of $476 Sierra saves $11 per day how much money will Ciara have in 8 Days use an equation to solve the problem i
    7·1 answer
  • A square postage stamp has area 1280 mm. About how long is each​ side?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!