MATH140_FALL2010.260400539.ass1

# MATH140_FALL2010.260400539.ass1 - Michelle Ma Review...

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Michelle Ma MATH 139, Fall, 2008 Review problems on functions. WeBWorK assignment ass1 due 09/25/2010 at 11:55pm EDT. 1. (1 pt) Let f ( x ) = - 3 + 2 x 3 + x , x 6 = - 3 . f - 1 ( y ) = Note: The expected answer is a function and the variable you use in your answer must be y . For which value of y is f - 1 ( y ) not deﬁned? 2. (1 pt) The only solution of the equation ln ( x )+ ln ( x - 10 ) = 1 is x = . Note that you can include the symbol e in your answer as well as any function that WeBWorK understands. Hint: How can you get rid of those logs? Food for thought: Why is this the only solution? If you seem to have more than one solution, which of them makes sense in the original equation? More generally, if f ( x ) = ln ( x )+ ln ( x - 10 ) , x > 10 , then f - 1 ( y ) = Remember to use y as the variable in the function. 3. (1 pt) The equation sin ( x ) = - 1 2 has solutions in the range 0 < x < 40. The smallest of these solutions is x = and the largest is x = . Note that the argument of a trig functions is measured in ra-

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MATH140_FALL2010.260400539.ass1 - Michelle Ma Review...

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