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butalik [34]
3 years ago
10

What are the domain and range of the real-value function f(x) =-2+√x+7

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

The given function -2+√x+7 is a square root function.

The expression inside the square root of a unction cannot be negative. Because if it will be negative then the function will be imaginary. So, expression inside the square root must be positive or zero. Hence, to find the domain of a square root function set the expression inside the square root as more than or equal to zero.

So, x+7≥0

x+7 -7 ≥0-7 Subtract 7 from each sides to isolate x.

x≥ -7

So, the domain of the given function is x≥ 7.

Notice that if we will plug in any value which is more than or equal to 7then we will get y >=-2 only. It must be -2+.

So, range of this function is y>=-2.

stiks02 [169]3 years ago
4 0

Because the function f(x) =-2+√x+7 has √x, x should be more or equal 0.

Domain is x≥0, or [0,+∞).

The smallest value of x=0, so the smallest value of f(x) is f(0) =-2+√0+7=5,

so range is f(x)≥5, or [5, +∞).

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Which of the following has a value of 84? <br> A. 512 <br> B. 4,096 <br> C. 32 <br> D. 83
andreev551 [17]
Answer is B. 4,096

I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.

So 8⁴ is equal to 4,096.

8 x 8 x 8 x 8 = 4,096

    8 x 8 =      64
  64 x 8 =    512
512 x 8 = 4,096




6 0
3 years ago
Mrs. Montgomery brought cookies to her class. Each student can eat
seropon [69]
B, because 24/4=6  :))))))         
5 0
3 years ago
Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank ac
igomit [66]

Answer: She has a $-7.50 balance

Step-by-step explanation: A = 3*12.5

                                             A= 37.5

                                             37.5-30= -7.5

6 0
3 years ago
Read 2 more answers
Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

3 0
2 years ago
4. True or False: The solution to 4g +7=5g-1-g is Infinitely Many Solutions.
Nitella [24]

Answer:

False

Step-by-step explanation:

4g + 7 = 5g - 1 - g

Simplify:

4g + 7 = 4g - 1

Subtract both sides by 4g:

7 = -1

There are no solutions to this equation.

7 0
3 years ago
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