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
pogonyaev
2 years ago
7

Find the domain of the function:f (x) = 2x/x^2-4​

Mathematics
1 answer:
denis23 [38]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be.

x² - 4 = 0 ⇒ x² = 4 ⇒ x = ± 2 ← excluded values

domain : x ∈ R, x ≠ ± 2

You might be interested in
If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of x
Ulleksa [173]
For this question, we can assume that RS + ST = RT.  So now, we just have to plug in the expressions for these lengths, and solve the equation.

(3x+1) + (2x-2) = 64

Because we are only dealing with one operation, the parentheses aren't necessary.

3x + 1 + 2x - 2 = 64

Next, we should combine like terms on the left side of the equation. We know that 3x + 2x = 5x, and that 1 - 2 = -1.

5x - 1 = 64

The goal of an equation is to get the variable alone.  To do this, we have to get rid of the -1 on the left side of the equation.  So, we are going to add 1 to both sides of the equation, to cancel out the -1 on the left side.

5x = 65

Finally, we are going to divide both sides by 5, as this is the inverse operation of multiplication, which is how the 5 and the x are connected.

x = 13

Therefore, the value of x is 13.
3 0
3 years ago
Please help me. I'm desperate
Flauer [41]
Ok so x is the original price and we want to solve if the original price was 48 so x=48. When we substitute this into the equation we get 0.75(48)-0.15(0.75x48). When we simplify this expression we get 30.6. The current price is $30.60. Hope this helps.
7 0
3 years ago
Jamila deposits $800 in an acount that earns yearly simple interest at a rate of 2.65%. How much money is an account after 3 yea
Cerrena [4.2K]

Answer:

In 3.75 years, you will have $865.30

Step-by-step explanation:

 

4 0
2 years ago
4-x suare= -16 what is the answer
Snowcat [4.5K]

4-x^2=-16\\\\
x^2=20\\\\
x=\sqrt{20} \vee x=-\sqrt{20}\\\\
x=2\sqrt5 \vee x=-2\sqrt5

7 0
3 years ago
Read 2 more answers
A weight lifter lifts a setof 1250kg weights a vertical distance of 2m in a weight lifting contest what potential energy do the
nikitadnepr [17]

Answer:

<u>U = mgh = (1250 kg)(9.8 m/s2)(2m) = ? J</u>

HOPE THIS HELPS

3 0
3 years ago
Other questions:
  • 5 friends are going on a 3 kilometer hike. Each person is going to lead the group for an equal distance of their hike. How many
    13·1 answer
  • (NEED HELP ASAP)
    6·1 answer
  • Help pls ASAP <br><br><br> Thanks
    11·1 answer
  • A ________ prism has two congruent, parallel bases and three lateral sides.
    8·2 answers
  • Find the following probabilities for the standard normal random variable z: a. P(−1.36 ≤ z ≤ 1.38)= ________ b. P(−2.27 ≤ z ≤ 1.
    9·2 answers
  • If y = 14 when x = 8, find y when x = 12
    11·1 answer
  • Which of the following is the product of (7x + 2) and (5x − 11)?
    11·1 answer
  • Find a value for a that makes this statement true.<br><br> a ÷ 6 greater than 1.
    15·2 answers
  • Can anyone help me, please?
    7·1 answer
  • Explain how the diagram can help find the area of a circle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!