Question

What are the conditions on m and b such that the linear function y = mx+ b is its own inverse? Avoid guessing and checking. Prove this using algebraic technique only.

Name: what are the conditions on m and b such that the linear function y mx b is its own inverse avoid guessing and checking prove this using algebraic technique only 51375
Uploaded: 2022-08-11T03:26:06-08:00
Duration: 1 min 12 s
Channel: Ryan Yaiser
Description: what are the conditions on m and b such that the linear function y mx b is its own inverse avoid guessing and checking prove this using algebraic technique only 51375

          What are the conditions on m and b such that the linear function
y = mx+ b is its own inverse? Avoid guessing and checking. Prove
this using algebraic technique only.

Added by Anthony M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ryan Yaiser

08/11/2022

Step 1

For a function \( f(x) = y \), the inverse function \( f^{-1}(y) = x \) should satisfy \( f(f^{-1}(y)) = y \) and \( f^{-1}(f(x)) = x \). Show more…

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What are the conditions on m and b such that the linear function y = mx+ b is its own inverse? Avoid guessing and checking. Prove this using algebraic technique only.