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sineoko [7]
3 years ago
8

FINDE THE DOMAIN OF THE FUNCTION g(x)=roots x+7 write your answer using INTERVAL NOTATION.

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

Domain: [-7, ∞)

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

<u>Step 1: Define function</u>

g(x) = √(x + 7)

<u>Step 2: Determine</u>

We know that we cannot have a negative under the square root as it will produce imaginary numbers. Therefore, on a real number scale, the square root can be no less than or equal to 0.

We see from the function that in order to get 0 under the square root, x = -7. If we have x = -8, we would get -1 under the square root, thus giving us an imaginary numbers.

Therefore, our domain is x ≥ -7 or [-7, ∞).

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iris [78.8K]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Plz help me in this homework​
evablogger [386]

Step-by-step explanation:

You basically have to divide your number from a prime factor until your result is 1

For example

12

you divide it from the lowest prime number possible, for in this case, 2

12/2 = 6 and you can set aside 2 for now

You do the same thing and you divide it by 2

6/2 = 3 and set aside 2

Now 3 isn't divisible by 2 so you'll find another number, for in this case 3

3/3 = 1

your set side numbers are now 2,2,3

so you'll find out 12 = 2x2x3 as a product of it's prime factors

how ever you cant divide it by 4 or 6 since they aren't prime factors as they are divisible by other numbers

8 0
3 years ago
What is 3x+5-x=2(x-1)-4
Romashka-Z-Leto [24]

Answer:

No solution

Step-by-step explanation:

3x + 5 - x = 2(x-1)-4        

2x + 5 = 2x - 2 - 4         Add the like terms. Distribute the 2.  

2x =  2x - 6 - 5              Subtract 5, add like terms

2x = 2x - 11                    Add like terms

0  ≠ -11                           Subtract 2x to keep variables on one side

                                     Since zero does not equal -11, there are no solutions

4 0
3 years ago
Convert the decimal, 2.55, into an improper fraction
laiz [17]

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

5 0
3 years ago
Help plz
LUCKY_DIMON [66]

Answer:

h = 0.64 ft

Step-by-step explanation:

s =  \frac{14 + 12 + 6}{2}  =  \frac{32}{2}  = 16 \: ft \\  \\ A =  \sqrt{(s - 14)(s - 12)(s - 6)}  \\  \\ A =  \sqrt{(16 - 14)(16 - 12)(16 - 6)}  \\  \\ A =  \sqrt{(2)(4)(10)}  \\  \\ A =  \sqrt{80}  \\  \\ A =  8.94427191\\  \\ A  \approx  8.94 \:  {ft}^{2}

A = 14h

8.94427191 = 14h

h = 8.94/14

h = 0.638571429

h = 0.64 ft

7 0
3 years ago
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