SOLUTION: How do you find the inverse of an equation? y=6-2x

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Question 66410This question is from textbook Discovering Advanced Algebra: An Investigative Approach
: How do you find the inverse of an equation?
y=6-2x This question is from textbook Discovering Advanced Algebra: An Investigative Approach

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse y%5E-1of:
y+=+6-2x Just swap the x and the y, then solve for y.
x+=+6-2y Solve for y. Subtract 6 from both sides.
x-6+=+-2y Divide both sides by -2.
-x%2F2+%2B+3+=+y So, the inverse is:
y%5E-1+=+3-x%2F2
Check: Recall that: f%28f%5E-1%29%28x%29+=+x
y%28y%5E-1%29+=+6-2%283-x%2F2%29 Simplify.
y%28y%5E-1%29+=+6-6%2Bx
y%28y%5E-1%29+=+x