1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nevsk [136]
3 years ago
7

Determine the domain of the function. f as a function of x is equal to the square root of x plus one divided by x plus four time

s x minus six.
Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

a)  

Step-by-step explanation:

We have been given a function . We are asked to find the domain of our given function.

We can see that our given function is a rational function and numerator of our given function is a square root.

To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.

Undefined points for our given function:

The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.

Non negative values for radical:

The domain of numerator is all value of x greater than or equal to negative

Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.

Therefore, domain of our given function is .

You might be interested in
LaTanya leaves her house at 12:30pm and bikes at 12 mi/h to marta’s House she stays at marta’s House for 90mij both girls walk b
babymother [125]

Answer:

2.9 mi

Step-by-step explanation:

The time difference t between 12.30pm and 3.30pm is 3h.

Let the distance to Marat's house be s.

The equation to calculate velocity v is given by:

v = distance / time.

Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:

3 = s/12 + 1.5 + s/2.3

Solve this equation for s:

(1/12 + 10/23)* s = 1.5

s = 2.9

7 0
3 years ago
2. Round the following numbers to the nearest 10 thousand:
Vlad [161]

The  values of the given numbers when it is rounded up to the nearest 10 thousands are:

  • 990000
  • 150000

<h3>What is rounding up in mathematics?</h3>

Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.

It should be noted that in rounding the  a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .

From the given values, we are given the 990,201 and 159,994  and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000

and 150000.

Read more about rounding up at:

brainly.com/question/28324571

#SPJ1

8 0
1 year ago
Tabitha received $2,200 from her aunt as a birthday gift. She decided to put the money in an account to save for college. The ac
arsen [322]

3225.36

Step-by-step explanation:

8 0
4 years ago
The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters. Which equation correctly relate
serious [3.7K]

Answer:

the width is 2 meters

Step-by-step explanation:

10 / 5 = 2

3 0
3 years ago
Help plz:
kari74 [83]

a ) x is 6

b ) x is 1.5

c ) x is 16/6

d ) x is 2

6 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP WILL GIVE BRAINLIEST
    13·1 answer
  • Clara estimates that the length of a hiking trail is 10 km. She later learns that its actual length is 12 km. What is the percen
    10·1 answer
  • Suppose you roll two dice. How many different ways can you roll the dice so that their sum is 2
    13·1 answer
  • A sequence of transformations was applied to an equilateral triangle in a coordinate plane. The transformations used were rotati
    14·1 answer
  • A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile.
    15·1 answer
  • A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
    9·2 answers
  • PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my comput
    9·1 answer
  • An engineer is building a model of a vehicle, using the scale factor 2:43.The actual dimensions of the vehicle are given in this
    10·2 answers
  • Find the RANGE for the data set: 8, 4, 6, 6, 8, 2, 6,5
    12·2 answers
  • What are all the factors of 24 that are positive
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!