MAT 117 - Arizona State University
MAT 210 Practice – Derivative of an Inverse.
If f and g are inverse functions and [pic], then [pic]
1) Let[pic]
a) Find the point on the graph of [pic]where y = 0.
b) If [pic]is the inverse function of[pic], Find the point on [pic]
that corresponds with the point in part a (reflection about y = x).
c) Use the result from part a and the formula above to find [pic].
2) Let [pic] and [pic]is the inverse function of[pic]
a) Find [pic]
b) Find [pic]
c) Find [pic]
3) Let [pic] and [pic]is the inverse function of[pic]
(Hint: If you can’t factor to solve for x, plug all integers from -4 to 4 into f(x).)
a) Find [pic]
b) Find [pic]
c) Find [pic]
Answers (Revision 1)
1a) (-1, 0) 2a) -7 3a) [pic]
b) (0, -1) b) -28 b) [pic]
c) [pic] c) -28 c) [pic]
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