Lilmike234
  • Lilmike234
What is the domain of the function shown below r(x)=x/x^2-9
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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jdoe0001
  • jdoe0001
if you solve the denominator for 0, what do you get for "x"?
UsukiDoll
  • UsukiDoll
\[\large r(x) = \frac{x}{x^2-9}\] our function has a denominator so there is a restriction we can either factor \[\large x^2-9 \] due to difference of squares formula... or solve \[\large x^2-9=0\] for x. There should be 2 solutions.
Lilmike234
  • Lilmike234
(x:xnot equal to 3) ?

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UsukiDoll
  • UsukiDoll
ummm we're missing another value for x hint \[\large x^2-9=0 \] difference of squares formula \[\large (x+3)(x-3)=0\] now solve for x
Lilmike234
  • Lilmike234
(x: all real numbers)?
UsukiDoll
  • UsukiDoll
solve x+3 = 0 and solve x-3=0
Lilmike234
  • Lilmike234
(x:xnot equal to -3) ?

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