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
10

Given f(x)=1/x+3 and g(x)=6/x+4, find the domain of f(g(x))

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0

Answer:

The domain is all real numbers except the value of x=-6

Step-by-step explanation:

we have

f(x)=\frac{1}{x+3}

g(x)=\frac{6}{x+4}

we know that

f(g(x))=\frac{1}{(\frac{6}{x+4})+3}

f(g(x))=\frac{1}{\frac{6+3(x+4)}{x+4}}

f(g(x))=\frac{x+4}{6+3x+12}

f(g(x))=\frac{x+4}{3x+18}

f(g(x))=\frac{x+4}{3(x+6)}

Remember that the denominator cannot be equal to zero

so

The value of x cannot be equal to -6

therefore

The domain is all real numbers except the value of x=-6

In interval notation the domain is

(-∞,-6) ∪ (-6,∞)

You might be interested in
Whats the answer to this question and how did you do it?? thanks,,, (:
MrRa [10]
5x+3=3x+7
<em></em>-3     =   -3
2x+3=7
     -3= -3
2x=4
x=2
5 0
3 years ago
Read 2 more answers
Count by tens and ones to find the sum.use the number line to show your thinking 86.
mojhsa [17]
To get to 86 by only using 10's and 1's you count by 10, 8 times and count by 1, 6 times.
5 0
3 years ago
Daniel makes 100 dollars each week. He worked for a weeks this summer.
Digiron [165]

Answer:

the number of weeks is unknown the A represents the number of weeks so the answer is 100a

7 0
3 years ago
Measure of Variability:
Vesna [10]
The mean absolute deviation shows the average distance number data is from each other. The bigger it is the farther the numbers are away from each other and vice versa.
7 0
2 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 63
Damm [24]

Answer: 7

Step-by-step explanation:

7

3 0
3 years ago
Other questions:
  • Is (0,0) a solution to this system? y ≥ x^2 + x - 4, y&gt; x^2 + 2x + 1
    9·2 answers
  • Find the slope of the line passing through the pair of points. (–4, 5) and (0, 2)
    15·2 answers
  • The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. Using this information, triangles can be
    15·1 answer
  • Help I can not figure this out at all even my older kids tried
    13·1 answer
  • Can someone give me the ASAP I have a time limit and need it ASAP
    8·1 answer
  • How do i do this problem x-2y=1,for y?
    15·1 answer
  • A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost
    11·1 answer
  • Some please help!!!...................
    10·1 answer
  • Multiply. Simplify if possible. If you can simplify, what is the GCF you used ? what is 5/9 x 2/3
    8·1 answer
  • Please help I am lost
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!