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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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Step-by-step explanation:

In the last step, the divison by 4 yields:

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3 years ago
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Papessa [141]

Answer:

1 : 1

Step-by-step explanation:

When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.

Let the radius of sphere is r.

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radius of cylinder = r

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The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.

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3 years ago
Help me with A and B please
g100num [7]

Part A.

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A. v = 2 * 4 * 7 = 28

B. v = 4 * 5 * 6 = 120

C. v = 5 * 5 * 4 = 100

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Part A. answer: A, E

Part B.

Dora had a 5-cm cube.

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volume = (5 cm)^3 = 125 cm^3

Dora has 125 small cubes.

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A. v = 3 * 3 * 8 = 72

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3 years ago
.<br> A. 139<br> B. 147°<br> C. 155<br> D. 157<br> PLEASE HELP ASAAAPP!
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Answer:

\huge\boxed{157 \ \ \text{degrees}}

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

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Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

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Hope this helped!

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Answer:

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