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jeyben [28]
1 year ago
9

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

Mathematics
1 answer:
Svetlanka [38]1 year 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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Find the solutions of the system y = –2x – 1 and y = 3–x–1.
sweet [91]

There are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two equations:

y = –2x – 1 and

\rm y = 3^{-x-1}

From the graph, we can see:

There are two intersection points:

(-1, 1) and (-2, 3)

The x coordinates are -1 and -2

x = -1, y = 1

x = -2, y = 3

Thus, there are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.

Learn more about the exponential function here:

brainly.com/question/11487261

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5 0
2 years ago
The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?
sergij07 [2.7K]

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

6 0
3 years ago
Read 2 more answers
Please help me with both problems thank you so much!!
motikmotik
The one on the left is -5/6
The one on the right is 1/21
6 0
2 years ago
Read 2 more answers
Round to underline digit 3 in 32, 336
Charra [1.4K]
I dont know if you know this, but there are 3 different 3's. So how can we figure out the question if we don't know which one is underlined?
5 0
3 years ago
Write the standard form of the equation of the line through the given point with the given slope. Through (-2,5), slope =-4
AleksandrR [38]

Answer:

\huge\boxed{4x+y=-3}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>(x₁, y₁)</em><em> - point on a line</em>

<em>m</em><em> - slope</em>

<em />

We have

m=-4,\ (-2,\ 5)\to x_1=-2,\ y_1=5

Substitute:

y-5=-4(x-(-2))\\\\y-5=-4(x+2)

Convert to the standard form

Ax+By=C

y-5=-4(x+2)                <em> use the distributive property</em>

y-5=(-4)(x)+(-4)(2)

y-5=-4x-8               <em>add 5 to both sides</em>

y-5+5=-4x-8+5

y=-4x-3               <em>add 4x to both sides</em>

4x+y=-4x+4x-3\\\\4x+y=-3

3 0
3 years ago
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