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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