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
kolbaska11 [484]
3 years ago
15

50 POINTS!!! i WILL GIVE BRAINLISET IF YOU ANSWER FAST Find the domain for the rational function f of x equals quantity x minus

3 over quantity 4 times x minus 1. (−∞, 3)(3, ∞) (−∞, −3)( −3, ∞) negative infinity to one fourth and one fourth to infinity negative infinity to negative one fourth and negative one fourth to infinity
Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

(−∞, 2)∪(2, ∞)

Step-by-step explanation:

Domain is all the values that "x" can be

since finding all the values which "x" can be is too hard we will find out the values which "x" can't be- this means equating the denominator to "0" so that the function will be undetermined:

f(x)=\frac{x+1}{x-2}f(x)=

x−2

x+1

since we need the denominator to be "0" we must use the opposite of (-2) which is "2" so we will substitute "2" in the place of "x"f(2)=\frac{2+1}{2-2}f(2)=

2−2

2+1

- the function is now "undetermined" since nothing can be divided by 0 we need to write our answer in proper domain/range format

-Hope this helps!

GrogVix [38]3 years ago
4 0

Answer:

(-\infty,1/4)\cup(1/4,\infty)

The answer is C.

Step-by-step explanation:

So we have the rational function:

f(x)=\frac{x-3}{4x-1}

In rational function, the domain is simply all real numbers except for the values when the denominator equals 0. In other words, we need to find the zeros of the denominator. To do this, set the denominator to zero:

4x-1=0\\x=1/4

Therefore, the domain is all real numbers except for 1/4.

In interval notation, this is:

(-\infty,1/4)\cup(1/4,\infty)

The left one represents all the values to the left of 1/4.The right represents all the values to the right of 1/4. The union symbol is needed to combine the two. Note that we use parentheses instead of brackets because we do not include the 1/4 nor the infinities.  

You might be interested in
Find g(4) and f(g(4)) <br> f(x)=x^2-x+1 <br> g(x)= 3x-5
Ira Lisetskai [31]

Answer:

g(4)  = 7 and f(g(4)) = 43

Step-by-step explanation:

First find g:

g(x) = 3x-5

g(x) = 3(4) - 5

g(x) = 12 - 5

g(x) = 7

Plug in:

f(g(4))

f(7)

Now, find f:

7^2 - 7 + 1

49 - 7 + 1

42 + 1

f(x) = 43

5 0
3 years ago
This is line segments
lianna [129]

Step-by-step explanation:

here \: given \: that \: total \: lenth = bd = 67 \\ then \: bd = bc + cd \\ so \: we \: can \: write \: that \\ 67 = 3x - 2 + 4x + 13 \\67 =  3x + 4x - 2 + 13 \\ 67 = 7x + 11 \\ 7x = 67 - 11 \\ 7x = 56 \\ x =  \frac{56}{7}  \\ x = 8 \\ thankyou

8 0
3 years ago
Read 2 more answers
Marla bought 7 boxes. A week later, half of all her boxes were destroyed in a fire. There are now only 22 boxes left. How many d
Alchen [17]

She should have started with 44 boxes

3 0
3 years ago
Read 2 more answers
Find the common property and use it to describe these sets. C={1,4,9,16} C is a set of x, where x depends on n.
Korolek [52]

Answer:

x depends on natural number.

8 0
3 years ago
Read 2 more answers
PLEASE I NEED HELP, ILY ILL GIVE 30 POINTS
Novosadov [1.4K]

Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement                   {}                             Reason

S1. Line m is parallel to line n       {}            R1. Given

S2. ∠1 ≅ ∠2                   {}                            R2. Vertically opposite angles

S3. m∠1 ≅ m∠2                    {}                     R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear      {}      R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 {}      R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180°              {}                Definition of supplementary angles

S7. m∠1 + m∠3 = 180°              {}                 Substitution Property of Equality  

S8. ∠1 is supplementary to ∠3           {}      Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Mark is investing $8,000 in an account paying 5.5% interest compounded monthly.
    12·1 answer
  • The product of a number m and 1.7 is 6.63.
    11·2 answers
  • Giving Brainliest if correct!!
    6·1 answer
  • Show ur work will give braniest
    6·1 answer
  • A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
    7·1 answer
  • Hi i need help asap <br> 10(y - 3) +(6y - 5)
    11·1 answer
  • Mr. Martinez is comparing the price of oranges from several different markets. Which market’s pricing guide is based on a consta
    12·1 answer
  • Order these numbers from least to greatest: -4, 1/4, 0, 4, -3&amp; 1/2, 7/4, -5/4
    9·2 answers
  • Which equation represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi tim
    5·1 answer
  • What is the equation of the line that passes<br> through the point (3, 1) and the point (6,-1)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!