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Mashcka [7]
3 years ago
5

Find the domain of the function algebraically:

%20-x-2%7D" id="TexFormula1" title="R(x)=\frac{x}{x^{2} -x-2}" alt="R(x)=\frac{x}{x^{2} -x-2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
BigorU [14]3 years ago
7 0

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

R(x) = \frac{x}{x^2-x-2}

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

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Blizzard [7]
Area=1/2 times base times height
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a=1/2bh
b=width

h=-4+2w
h=2w-4
subsitute
a=1/2w(2w-4)
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63=w^2-2w
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0=w^2-2w-63
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find what 2 numbers multiply to get -63 and add to get -2
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so
0=(w-9)(w+7)
if xy=0 then x and/or y=0

so
w-9=0
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w-9=0
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legnth=14 in
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5 0
3 years ago
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Vadim26 [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Solve the equation below using a graphing
UNO [17]

Answer:

<em>x = 0.05</em>

<em>x = 1.57</em>

Step-by-step explanation:

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e^x-\ln 2x - 3.7=0

Now we define a function:

y=f(x)=e^x-\ln 2x - 3.7

The solutions of the equation are the values of x such that y=0.

Since the function cannot be solved by algebraic methods, we use a graphing tool.

Those points where the graph crosses the x-axis are solutions of the equation.

Please refer to the graph in the figure below.

We can clearly identify there are two solutions at

x = 0.05

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6 0
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il63 [147K]

Answer:

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