anonymous
  • anonymous
How to find the domain and range of y = log2(360-10x^2) ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
logrithm of negative numbers doesnot exists. now can you guess the domain???
anonymous
  • anonymous
x doesn't equal 6 or -6? Or would I say x must be greater than 6 or -6?
anonymous
  • anonymous
x can be from -6 to 6 but cannot less than -6 and cannot be greater than 6

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anonymous
  • anonymous
So is this right: domain is { x| x ≠ 6, -6 }
anonymous
  • anonymous
|dw:1378445537146:dw|
anonymous
  • anonymous
Thank you! I always get mixed up on how to write the domain, thanks :)
anonymous
  • anonymous
you are welcome but now you have to go for range
RadEn
  • RadEn
only use <, without = @rizwan_uet
anonymous
  • anonymous
Range is the domain of the inverse right? I got y is less than or equal to 8.45
anonymous
  • anonymous
ya its < only sorry. @justine97
anonymous
  • anonymous
That's okay. Is my range correct?
anonymous
  • anonymous
ok let me check
anonymous
  • anonymous
is this 2 multiplied with (360-10x^2) ????
anonymous
  • anonymous
I did 2^x = 360-10y^2 and solving for x or the inverse
anonymous
  • anonymous
Oh and one more question: why is it greater than instead of greater than or equal to?
anonymous
  • anonymous
because log of zero doesnot exists
anonymous
  • anonymous
in your question the number 2 represents base or what????
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Or couldn't you just graph it and find the maximum
anonymous
  • anonymous
you are right but we to solve it through equations. because the graph just gives us the approximations
anonymous
  • anonymous
Ok, I think I got the right answer because I compared it with a friend. Thanks for the clarification!
anonymous
  • anonymous
its good. have fun

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