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Leona [35]
3 years ago
8

Determine the domain and range of the following function. Record your answers in set notation. The domain is {x∈R| x≠−5}, and th

e range is {y∈R| y≠−2}. The domain is {x∈R| x≠−2}, and the range is {y∈R| y≠−5}. The domain is all real numbers, and the range is all real numbers as well. The domain is {x∈R| x≠−3}, and the range is {y∈R| y≠−5}.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

Option (2)

Step-by-step explanation:

Domain of a function is represented by the set of x-values (Input values) and Range of the function is represented by the set of y-values (Output values)

From the graph attached,

Given function is,

f(x)=\frac{x^2-x-6}{x+2}

Domain of this function will be {x ∈ R | x ≠ -2}

[Since, point x = -2 doesn't lie on the given graph]

Range of the function will be {y ∈ R | y ≠ -5}  

Therefore, Option (2) will be the correct option.

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Answer:

\frac{3}{19}

Step-by-step explanation:

Given :

A bag contains 10 blue, 6 green, and 4 red marbles.

You choose one marble. Without putting it back, you choose a second marble.

To Find: What is the probability that you first choose a green marble and then a blue marble?

Solution:

No. of blue balls = 10

No. of green balls =6

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Total no. of marbles = 10+6+4 =20

Since we are given that first he choose a green marble

So, probability of getting green marble :

\frac{\text{No. of green marbles}}{\text{total no. of marbles}}

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Since he choose second marble without replacement

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So, Probability of getting blue marble in second draw :

\frac{\text{No. of blue marbles}}{\text{total no. of marbles}}

= \frac{10}{19}

The probability that you first choose a green marble and then a blue marble:

=\frac{6}{20}*\frac{10}{19}

=\frac{3}{19}

Hence the probability that you first choose a green marble and then a blue marble is  \frac{3}{19}

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