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Solutions To Mathematics Textbooks/Calculus Early Transcendentals (6th) (0495011665)/Chapter 1.2
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9
is a cubic, so must be of the form .
Therefore, , so now
Looking at other values:
Try to solve simulatenously:
, thus .
, thus .
Thus,
Solve simultaneous equation:
therefore .
If then:
, thus .
Therefore, we have and our function is given by .