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Answer:
Step-by-step explanation:
Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.
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The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.
Answer:
The number of complex roots is 6.
Step-by-step explanation:
Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.
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The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.
