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Feliz [49]
3 years ago
14

What is the discontinuity and zero of the function f(x) = 3x^2 + x - 4 / x-1

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
Ans: Option (1) <span>Discontinuity at (1, 7), zero at ( negative four thirds , 0) 
</span>
Explanation:
Given function:
f(x) =  \frac{3x^2 + x - 4}{x-1}

Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.

Now for f(1):
f(x) = \frac{3x^2 + x - 4}{x-1} \\ f(x) = \frac{3x^2 + 4x - 3x - 4}{x-1} \\ f(x) = \frac{x(3x+4)-1(3x+4)}{x-1} \\ f(x) = \frac{(x-1)(3x+4)}{(x-1)} \\ f(x) = 3x+4 \\ now ~ insert ~ x=1: \\ f(1) = 3(1) + 4 = 7 \\ It~means~discontinuity~at~(1,7).\\ Now~let~us~find~zeros.\\ put~ f(x) = 3x+4 ~ equals~ to ~zero. \\ =\ \textgreater \ ~3x+4 = 0 \\ =\ \textgreater \  ~ x =  \frac{-4}{3} \\ Hence~zeros=(  \frac{-4}{3}, 0)

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2 years ago
What is the volume of a cylinder if ,
sergiy2304 [10]
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ:</u></h3>

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<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>

<u>We </u><u>are </u><u>given </u><u>that </u><u>:</u>

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<u>Therefore, Volume :</u>

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

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‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume</u><u> </u><u>of </u><u>given</u><u> </u><u>cylinder</u><u> </u><u>is </u><u>3</u><u>8</u><u>,</u><u>0</u><u>1</u><u>6</u><u> </u><u>cm³</u><u>.</u>

<h3><u>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</u></h3>

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

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Hi there!

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I hope I helped!
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。☆✼★ ━━━━━━━━━━━━━━  ☾  

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The plus 5 on the outside of the brackets represents the graph moving up by 5 units

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Note: When it is on the inside of the brackets, you would do the opposite of what it suggests.

Normally, minus 7 would mean the graph shifts to the left, however, it means the opposite in this case.

Have A Nice Day ❤    

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algol13

Answer:

Range: ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation:

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