HW - Section 1.6 Number 53 www.math.ufl.edu/˜harringt...

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Unformatted text preview: Section 1.6 Number 53 www.math.ufl.edu/˜harringt January 24, 2008 We want to Find the range of f (x) = know that that f −1 (x) = 1 ln(3 − x2 ). 2 √ 3 − e2x . From the quiz 3A we Recall that the range of f (x) is the domain of f −1 (x). Since we need to know the domain of f −1 (x) = 1 ln(3 − x2 ), then we must have that 3 − x2 > 0 2 3 − x2 3 √ 3 √ 3 |x| > > > > < 0 x2 √ x2 |x| √ 3 √ √ So − 3 <√ < 3. WAIT, there is more! We should also notice that x since f (x) = 3 − e2x , then f (x) cannot be negative. Recall that square roots can not produce negative numbers. So the range of f must be √ 0 ≤ f (x) < 3 or in interval notation [0, √ . 1 3) ...
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This note was uploaded on 07/10/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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