Problem Sheet #10 (4.1-4.3)
ClassID: _____ Name: _________________________ Hmk. 10 Score _________
Math 1090 – 001 Spring 2013
Instructor: Katrina Johnson
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work.
1. Find the inverse of each function.
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a) f (x) = ( x −1) + 2
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b) g(x) =
x −2
x+3
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2. Given h(x) = 2x 2 +12x +15 .
i) How must you restrict the domain of h so that it does have an inverse?
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ii) Find the inverse.
3. Identify the base function and describe the transformations. Then sketch the
transformed function, labeling at least two points and the horizontal or vertical asymptote.
a) f (x) = 2 − e x −5
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Base function is y=_______
Transformation(s):
b) g(x) = log 5 (1 − x) − 3
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Base function is y=_______
Transformation(s):