[IB Math SL] Exam Review: Composite and Inverse Functions

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in the example of finding domain and range of 1/square root (9-x^2), at timestamp 5.40, you say the range is all real numbers except 0 however the result of the square root HAS to be positive therefore the dominator will be something positive therefore 1/a positive real number = a positive real number. so shouldn't the rage be all positive real numbers (excluding 0 and negatives)?

kai-fshl
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thank you you so much I have exam tomo about function I hope I will did well

drdark