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yarga [219]
3 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]3 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]3 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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Ede4ka [16]
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5 0
3 years ago
If the angles is 180 and there is 3 parts (3x+94) and (x+36) and (2x-4) what is x
DiKsa [7]
Hehe, I thought I'd get this one wrong, but x=10. Remember, that a straight angle must add up to 180 degrees. So I added all the angles; (3x+94)+(x+36)+(2x-4)=180. I took away the parentheses having 3x+94+x+36+2x-4=180. Remember from Algebra 1, to simplify terms, we add the polynomials. 94+36-4=126. 3x+x+2x= 6x. Our simplified equation is 120+6x=180. Now we can answer. 180-120=60. 60=6x. So therefore, for all x, x equals 10.
3 0
3 years ago
Cousin Hector drove 1,851 miles to the reunion. He lives in Mexico and drove 747 miles through that country to the United States
Sonja [21]

Answer:

1104 miles

Step-by-step explanation:

Say he lives in a place in Mexico which is at a distance of <em>a </em>miles from the Mexico-America border point and the reunion is at <em>b </em>miles from the same border point, in America.

So the total distance travelled is ( a + b ) miles

( this is just sum of distance travelled in Mexico + that in America )

Given , a=747 and a+b=1851

that implies:

747 + b = 1851

So, b = 1104 miles.

Therefore he has travelled 1104 miles in America,

3 0
3 years ago
∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =
posledela

Answer:

B. 103°

Step-by-step explanation:

Supplementary angles add up to 180°, so we can find the measure of angle 2 by subtracting 77 from 180

180 - 77

= 103

So, m∠2 is 103°

7 0
2 years ago
What is the value of the expression 30 - 9+ 3 - (12 = 4)?
Flauer [41]

Answer:

21

Step-by-step explanation:

30 - 9 +3

30 - 12

18

18 - 12=4

      12/4 = -3

18 - -3

21

8 0
2 years ago
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