Angelica H. answered 02/18/23
Solutions and Explanations to all math questions from K- College
f(9)= - 4; f-1 (- 4) = 9
f-1(- 9) = - 4; f(- 4) = - 9
Sarah D.
asked 02/14/23Assume that the function f is a one-to-one function.
(a) If f(9)=4, find f-1(4)
Answer?
(b) If f-1(-9)=-4, find f(-4).
Answer?
Thank you
[3.7_1]
Angelica H. answered 02/18/23
Solutions and Explanations to all math questions from K- College
f(9)= - 4; f-1 (- 4) = 9
f-1(- 9) = - 4; f(- 4) = - 9
Steve M. answered 02/14/23
10+ years teaching university STEM courses
Here are a few ways to think about a function and its inverse:
1. If f(x) produces y, then putting y into the inverse of f produces the output x
2. f-1(f(x)) = x and f(f-1(x)) = x
For your examples:
(a) f-1(4) = f-1(f(9)) = 9
(b) f(-4) = f(f-1(-9)) = -9
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