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yarga [219]
2 years ago
10

What is the domain of the functionf(x)=x+1/x^2-6x+8 ? all real numbers all real numbers except –1 all real numbers except –4 and

–2 all real numbers except 2 and 4
Mathematics
2 answers:
Minchanka [31]2 years ago
8 0

Answer: The correct option is 4. The domain of f(x) is all real numbers except 2 and 4.

Explanation:

The given function is,

f(x)=\frac{x+1}{x^2-6x+8}

Use factoring by grouping method to factorize the domain.

f(x)=\frac{x+1}{x^2-4x-2x+8}

f(x)=\frac{x+1}{x(x-4)-2(x-4)}

f(x)=\frac{x+1}{(x-4)(x-2)}

The domain of a rational function is the intersection of domain of numerator or denominator expect those value for which the denominator function is 0.

The domain of numerator function (x+1) is all real number. The domain of denominator function (x-4)(x-2) is all real number.

The value of denominator equal to 0 when the value of x is 2 or 4. So the function f(x) is not defined for x=2 and x=4.

Therefore the domain of f(x) is all real numbers except 2 and 4. The fourth option is correct.

Vaselesa [24]2 years ago
4 0
I assume you mean f(x) = (x+1) / (x^2 - 6x + 8)

Then f(x) = (x+1)/ (x-2)(x-4)

So the domain will be all real numbers except 2 and 4
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Is 4 a solution of2=8
JulsSmile [24]

Answer:

Two doesn’t equal 8. Theoretically, eight is the solution...

Step-by-step explanation:

5 0
3 years ago
Numbers 6,7,8 I can't figure out
marysya [2.9K]
6. Take your compass and place the pointed edge on point B. Place one point on each side of B, each the same distance away from B. Next, place your compass on one of the two new points and extend your compass to draw a circle. Repeat with the SAME radian from the other point. Find where the two circles intersect with each other and draw a line from the points of intersection to point B. Place point A anywhere on that line that you just created and then you're done!

7. Select any place along either line and place point S on it. Next, using the same method as above, draw two circles with the same radius around both points S and R. Draw a line through the intersection points. Locate the intersection where your new line connects with the line across from the shared line of RS. Place a point at the intersection, for your reference, then connect that point to point S. Now you have completed this problem as well.

8. Use a straight edge to draw one line. Place points A and B on each end. Use the circle method yet again to find a line perpendicular to line AB. Next, take your compass and set it to the distance from point A to B. Use that same distance to make a point on the perpendicular line. This creates point C. The final step is to connect A with C and B with C.
7 0
2 years ago
What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


n=12


Also, the row three-column three entries of both matrices will give us the equation;


m-5=40


m=45


Hence the correct answer is m=45,n=12.


The correct option is option 2






6 0
2 years ago
HELP QUICK.
lakkis [162]
Pretty sure it’s C That one makes the most sense to me please let me know if you get it right
5 0
2 years ago
Read 2 more answers
Is 4/6 greater than 9/12
Liono4ka [1.6K]
You start by cross multiplying.
4 x 12 = 48
Therefore, the value of 4/6 is equal to 48.
You do the same on the other side.
6 x 9 = 54
Therefore, the value of 9/12 is equal to 54.

No. 9/12 is greater than 4/6.
6 0
2 years ago
Read 2 more answers
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