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
Fittoniya [83]
3 years ago
11

If m(x) = x+5/x-1 and n(x) = x — 3, have the same domain as (m • n) (x)

Mathematics
1 answer:
Yuri [45]3 years ago
8 0

For this case we have the following functions:

m (x) = \frac {x + 5} {x-1}\\n (x) = x-3

By definition we have to:

(f * g) (x) = f (x) * g (x)

So:

(m * n) (x) = m (x) * n (x)\\(m * n) (x) = \frac {x + 5} {x-1} (x-3)\\(m * n) (x) = \frac {(x + 5) (x-3)} {x-1}

By definition, the domain of a function is given by the values for which the function is defined.

The domain of m(x) is given by all reals except 1.

The domain of n(x) is given by all reals.

While the domain of (m * n) (x) is given by:

All reals, except the 1. With x = 1, the denominator is 0 and the function is no longer defined.

Answer:

Domain of(m * n) (x) is given by all reals except 1.

You might be interested in
Darla and Mary shared a cash prize in the radio 4:5. Together they won a total of $54. Make a tape diagram to determine how much
babunello [35]
She won $30. Please give Brainliest!
6 0
3 years ago
All the letters in the word
kupik [55]

Answer:

The probability of picking this is 2/7

Step-by-step explanation:

I'm pretty sure this is correct, and my reasoning for this is because there is 1 of most of the letters. This my not be correct, so you should probably try asking someone else, too :D!

5 0
3 years ago
Read 2 more answers
Alec mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is t
solniwko [45]

Answer:

i tink 88 percent

5 0
3 years ago
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 21 s
Artemon [7]
U=-2b+30

u+b=21 
<span>in slope intercept form this is </span>
<span>u=-b+21 </span>

<span>The same thing for wheels is </span>
<span>2b+u=30 </span>
<span>or </span>
<span>u=-2b+30</span>
6 0
3 years ago
Match the measureable quantity giving by its formula with the appropriate unit(s)
Anarel [89]
Can you give the things you have to match?
8 0
3 years ago
Read 2 more answers
Other questions:
  • Highest common factor of 92 and 42
    7·2 answers
  • How do you change 2/5 to a precent
    10·1 answer
  • Martina is currently 14 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. Use this information to
    9·1 answer
  • Hi what is the four time pi?
    15·1 answer
  • What is 7 10ths minus 4 10ths
    7·2 answers
  • Cine ma poate ajuta?
    13·1 answer
  • What is the volume of the right rectangular prism, in cubic centimeters?
    7·1 answer
  • 3ewhgaxjbhnkm4rewbs nkm11 what's 1+ 10 ?
    5·2 answers
  • What is the weight of 20 packets , if each packet weighs 3 kg.
    9·2 answers
  • Abcdefgh is a regular octagon. M is a point on the line dh. N is a point on the line fm. The line dn and fm are perpendicular. P
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!