anonymous
  • anonymous
Simplify and identify the domain.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1433113440490:dw|
anonymous
  • anonymous
@pooja195
anonymous
  • anonymous
\[4x+8\neq 0,x \neq-2\] \[x^2-9\neq0,x \neq \pm3\] Except these values all other real values of x are in domain.

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anonymous
  • anonymous
@surjithayer sorry i was having computer problems!
anonymous
  • anonymous
@mathmate @geerky42
mathmate
  • mathmate
To explain @surjithayer 's response, the domain of a rational function (function with polynomials in fractions) is all real except when the denominator becomes zero.
anonymous
  • anonymous
so what is the next step to simplify the fraction? @mathmate
mathmate
  • mathmate
Factor all expressions. Cancel common factors if applicable with condition (x\(\ne\)-3, etc.
anonymous
  • anonymous
do you think you can show me on the drawing tool, i understand better!!
anonymous
  • anonymous
@mathmate
mathmate
  • mathmate
I can give you an example, but bear with me for speed. \(f(x)=\frac{x+1}{x^2-1}\) Factor: \(f(x)=\frac{x+1}{(x+1)(x-1)}\)
mathmate
  • mathmate
Cancel with condition that x\(\ne\)-1 \(f(x)=\frac{1}{(x-1)}\)
mathmate
  • mathmate
The domain is x\(\ne\)-1,1 (because of the original function)
anonymous
  • anonymous
okay!
anonymous
  • anonymous
we can cancel a and c?
anonymous
  • anonymous
@mathmate
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
are you there? @mathmate
mathmate
  • mathmate
what's a and c?

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