Provide an appropriate response.Paul notes that if a = 3 and b = -3, then  =  = -1. He concludes that for any real numbers a and b,  =  . Do you agree with his reasoning? If not, why not?

What will be an ideal response?


 is not equal to  for any a and b. In fact  is equal to  only if a = b or a = -b. Paul has stated that  =  for all real numbers a and b. To disprove this statement, it is sufficient to find one counterexample. 
One possible counterexample is a = 2, b = 6. Then  = , but   = 3.

Mathematics

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A.
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C.

D.

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A. (-6, 0) B. (0, 6) C. (0, -6) D. (6, 0)

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A. f-1(x) = (x - 9)2
B. f-1(x) = 
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D. Not a one-to-one function

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A. Arithmetic B. Not arithmetic

Mathematics