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3 years ago

Graph the function f(x) = x2 + 5x − 6 / x + 1 showing all the key features.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

Answer:

the attached image shows the graph for given equation.

Step-by-step explanation:

We are given the following equation in the question:

$f(x) = x^2 + 5x - \displaystyle\frac{6}{x} + 1$

The attached image shows the graph for the given equation.

We could plot this graph by finding the coordinated for different values of x.

Vertical asymptotes:

$x = 0$

There are no horizontal asymptotes.

Some points on graph are:

(-3,-3), (-2,-2), (-1,3), (1,1), (2,12), (3,23)

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HELP I HAVE ONLY 1 MIN TO ANSWER IT HELP(((((((&&&&

LenKa [72]

Answer:

the one you have marker is correct

Step-by-step explanation:

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2 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME WITH THIS!! ;(

DochEvi [55]

Answer:

Zoom in and mark me as brainliest

4 0

2 years ago

Please help! I really don't understand!

Varvara68 [4.7K]

A. yes this is a statistical question. it is a statistical question because you can answer the question by collecting data.

b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.

c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.

1+2+3+3+4+4+4+5+5+5+5+5+5=51

51 ÷ 15= 3.4

3 0

3 years ago

Simplify 1/3 12x - 6 A. -2x-1 B.-2x-8 C.-x+4 D.3x+10 E. 4x-2

Natali5045456 [20]

1/3(12x - 6)

4x - 2: e

4 0

3 years ago