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vodka [1.7K]
3 years ago
7

Explain why x=-8 is not part of the domain of the function y=log2(x)

Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer:

See Below.

Step-by-step explanation:

By the definition of the logarithm, if we have:

y=\log_{2}x

This means that we have some value <em>y</em> such that:

\displaystyle 2^y=x

If <em>x</em> is -8, then:

2^y=-8

As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.

So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.

*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.

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I need the answer now please
xxMikexx [17]

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

  • For finding it we may simply out -1 as multiplication in front of the terms .

<u>SOLUTION</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

<u>SOLUTION</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

7 0
3 years ago
Marking brainliest for a simple math problem​
nalin [4]

Answer:

B. 88

Step-by-step explanation:

the total data = 1+2+4+5 = 12

the median is (a6+a7) /2

a6 = 87, a7 = 89

so, the median = (87+89)/2 = 88

7 0
3 years ago
derek is practcing for a matathon by running around a track that is 440 yards long. Yesturday he ran around the track 20 times.
Alja [10]
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First, you take 440 and multiply It by 20

Then, you take the product (8800) and divide it by 1760

Which would then give you, 5
8 0
3 years ago
8. Five times a number minus 4 is six.​
Semmy [17]

Answer:

2

Step-by-step explanation:

Let n equal that number.

5n-4=6

5n=10

n=2

7 0
3 years ago
Read 2 more answers
What is the value of the expression when p = –24 and q = 4?<br><br><br><br><br> p/2q
Tomtit [17]
<span>when p = -24 and q = 4. p/2q= -24/8 = -3 </span>
6 0
3 years ago
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