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Find the domain of function?f(x)=x+2/x2+x+6

Question

Find the domain of function?

f(x)=x+2/x2+x+6

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Step 1

DOMAIN is the set of all values of x for which function is not defined.

To find the domain of the function, put the denominator of the function equal to zero.

Function:

f(x)
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f(x)

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Step 2

Put denominator equal to zero that is;

x2x6 0
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x2x6 0

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Step 3

Now, solve the equation by &nbs...

x2x6 0
3x2 +6 = 0
x(x+3)+2x3) 0
(x+3) (x+2) 0
x =-3, x =-2
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x2x6 0 3x2 +6 = 0 x(x+3)+2x3) 0 (x+3) (x+2) 0 x =-3, x =-2

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