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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, ∞)

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3 years ago
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Step-by-step explanation:

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3 years ago
What is the slope of this line ?<br> Answers : 2, 1/2, 4, and -4
xxMikexx [17]

Answer:

2

Step-by-step explanation:

slope =\frac{rise}{run}

\frac{rise}{run}=\frac{2}{1} =2

<em>good luck, i hope this helps :)</em>

3 0
3 years ago
Read 2 more answers
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ludmilkaskok [199]

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<u>Step-by-step explanation:</u>

yellow      or       purple

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=               \frac{4}{6}

=               \frac{2}{3}

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