Ma 113 Functions And Inverse Functions, The Exponential Function And The Logarithm Worksheet Page 15
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417. Find an equation of the tangent line to the given curve at the specified point. Sketch the curve and
the tangent line to check your answer.
e
(a) y = x +
at the point x = 3.
x + 1
(b) y = 2xe at the point x = 0.
8. Suppose that f (2) = 3, g(2) = 2, f (2) =
2, and g (2) = 4. For the following functions, find h (2).
(a) h(x) = 5f (x) + 2g(x)
(b) h(x) = f (x)g(x)
f (x)
(c) h(x) =
g(x)
g(x)
(d) h(x) =
1 + f (x)
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