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Unformatted text preview: )(x + 1) > 0 : x < −5 Therefore, the answer is (−∞, −5) ∪ (−1, 1). 2. Find the domain of the function f (x) =
Restrictions on the domain : ln (x + 1)
.
ln (x − 2) •
ln(x − 2) = 0,
x = 3.
•
x + 1 > 0,
x > −1.
•
x − 2 > 0,
x > 2.
Therefore the domain of f is (2, 3) ∪ (3, ∞). √
3. Find the slope of the line tangent to the curve f (x) = x at the point (9, 3) by
using the limit deﬁnition of the instantaneous rate of change. Then ﬁnd the equation of
this tangent line...
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This note was uploaded on 02/10/2014 for the course MATH 235 taught by Professor Lucas during the Fall '08 term at James Madison University.
 Fall '08
 LUCAS
 Calculus, Logic

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