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
dimaraw [331]
3 years ago
15

How do I solve this

Mathematics
1 answer:
anastassius [24]3 years ago
7 0
\bf \cfrac{x+2}{x^2+6x-7}    so, that function is "defined", ok, what values of "x" are not in the domain, namely, what values can "x" take on and not make the function "undefined", well,  you know, if we end up with a 0 at the denominator, like   \bf \cfrac{x+2}{0}    then, we'd have an "undefined" expression...so... any values of "x" that make the denominator 0, are not really the ones we want, and thus they'd be excluded from the domain.


so, hmm which are those? let's check, let's set the denominator to 0, and solve for "x".

\bf x^2+6x-7=0\implies (x+7)(x-1)=0\implies x=
\begin{cases}
-7\\
1
\end{cases}
\\\\\\
\textit{let's check, } x=-7\quad \cfrac{(-7)+2}{(-7)^2+6(-7)-7}\implies \cfrac{-5}{49-42-7}\implies \cfrac{-5}{0}
\\\\\\
x=1\quad \cfrac{(1)+2}{(1)^2+6(1)-7}\implies \cfrac{3}{1+6-7}\implies \cfrac{-3}{0}
You might be interested in
Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
vovikov84 [41]

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

7 0
3 years ago
Wich number line represents the solution set for the 2x-6>6(x-2)+8
Fantom [35]
Well...
2x-6x>-12+8-6
-4x>-10
Attention! ">" change for "<" because we multiply both members for (-1)
x<10/4
It is the same to say (-infinite ; 10/4) or (-infinite ; 5/2) or (-infinite ; 2.5)
Good luck!
M.
3 0
3 years ago
8. The volume of a cylinder is 942 cubic feet.
ikadub [295]
The radius would be 5 ft
7 0
3 years ago
Read 2 more answers
In what ways is it useful to develop an algorithm for adding and subtracting rational numbers?
Julli [10]

Answer:

because why not

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the total surface area of the cuboid <br> 5cm 7.5cm and 2.3cm
otez555 [7]

Answer:

17.5

Step-by-step explanation:

hope it helps

4 0
3 years ago
Other questions:
  • Geometric abstraction is a form of artwork that uses geometric forms or shapes. Some twentieth-century American artists are know
    8·1 answer
  • Compare the decimals below <br><br> 9.26 _ .926
    14·1 answer
  • BRAINLIEST AWARDED TO FIRST CORRECT ANSWER NEED ASAP! AND 20 POINTS!! The table shows the cost for taxi rides of various distanc
    7·2 answers
  • A quantity, t, varies inversely with a quantity, r. Ift = 6, then r = 5.
    7·1 answer
  • There are 65 children in sixth grade. There are 15 more boys than girls. How many girls are in the class?
    8·2 answers
  • A cylinder has a base radius of 9 feet and a
    11·2 answers
  • Find the surface area of the prism.
    5·1 answer
  • Help pls due today thanks
    13·1 answer
  • Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20
    5·1 answer
  • Three-quarters the product of two numbers m and n. what is it in algebraic expression
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!