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151 WebCalc Fall 2002-copyright Joe Kahlig
In Class Questions
MATH 151-Fall 02
1. What is the definition of one to one, 1-1?
2. Is y = (x − 1)8 1-1? If not, could it be made to be 1-1?
3. Show that y =
3x + 7
is one to one and then find the inverse.
x+5
4. Derive the formula for taking the derivative of an inverse function at x = a.
5. If g(x) is the inverse of f (x), find the indicated derivative.
(a) g0 (3) if f (x) = 5 + 2x + e2x+3
x−2
(b) g0 (−3) if f (x) =
x+2
(c) g0 (9) if f (10) = 9, f (9) = 3, f 0 (9) = 7, and f 0 (10) = 4
October 24