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jeyben [28]
10 months ago
9

At which value(s) of x does the graph of the function F(x) have a vertical

Mathematics
1 answer:
Svetlanka [38]10 months ago
8 0

The function is f(x)=x/(x+2)(x-1). The vertical asymptote of the function are -2 and 1.

Given that,

The function is f(x)=x/(x+2)(x-1)

We have to find the vertical asymptote of the function.

A vertical asymptote is a line that appears to correspond with a function's graph but never really touches the curve. When graphing a function, the vertical asymptote of the function is crucial.

Take the function,

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

Take the denominator is equal to 0.

(x+2)(x-1)=0

x+2=0   or   x-1=0

x=-2     or    x=1

Therefore, the vertical asymptote of the function are -2 and 1.

To learn more about function visit: brainly.com/question/12431044

#SPJ1

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What is the equation of the translated function, g(x), if
Ivanshal [37]

Answer:

D.  g(x)  =  (x+ 4)² + 6

Step-by-step explanation:

Here, the given function is f(x)  = x²

Now,if a graph  x² is translated by (h,k) where:

h = Translation  done towards RIGHT

k = Translation  done towards UP

Then the translated equation is given as:

y =    (x-h)² + k    .... (1)

Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.

⇒  h =  - 4 and k = 6

Substituting the value of h, k in (1) , we get:

g(x) =  (x-(-4))² + 6  =  (x+ 4)² + 6  

⇒ g(x)  =  (x+ 4)² + 6

Hence,  the equation of the translated function, g(x) is g(x)  =  (x+ 4)² + 6.

3 0
2 years ago
Will give brainliest for right answer!
Annette [7]
This is a system of equations.  We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out.  We can do this by multiplying the bottom equation by 3.  This will make our system of equations equal:

3a + b + 225
-3a + 3b = 75

Now we add these two equations together, because the a terms will cancel out.

4b = 300.

We can find what b is by dividing both sides by 4.

b = 75

Next, we plug in b in one of the equations and solve for a.  You can use either equation, but I will use the second.

75 - a = 25

Subtract 25 from both sides and add a to both sides:

a = 50

So, the first option is correct.  A = 50 and b = 75.
8 0
3 years ago
Rachel has $9 in a savings account. The interest rate is 5%, compounded annually.
pogonyaev
1 % of 9 is 0.09, multiply 0.09 by 5= 0.45 (to find 5%)
Then multiply 0.45 by 36 (3years)= 16.20
Then add 16.20 to $9= $25.20
7 0
3 years ago
5p+2=13.25 what is the total number of pounds
seraphim [82]

Answer:

5p + 2 = 13.25 \\ 5p = 11.25 \\ p = 1.25

4 0
3 years ago
Read 2 more answers
Explain how to determine if Carlos’s allowance is directly proportional to the number of chores he completes.
lesya [120]

Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constant is:

k = 75/10 = 97.5/13 = 112.5/15 = 7.5.

Hence Carlos earns an allowance of $7.5 for each chore that he completes.

More can be learned about proportional relationships at brainly.com/question/10424180

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3 0
1 year ago
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