y=ax+b find the inverse and determine wether it's a function
usually you swap y and x then solve for the new variable. y=ax+b x=ay+b Solve for y :D
x-b over a=y but is it a function
y = (x-b)/a
Yes
Well I can tell you it is a function since the inverse of a linear function is usually a linear function too so it is a function :P
Take this new y function and put it in for x in the original equation you should get x back if this is an inverse
If an equation has an inverse then it's a function
Is y=2 a function or x=9/y a function
Try it. Y=2 exchange x and y
Then take the result and put in for x
Do you get x back?
What? No x? That should be a clue
Does this make sense?
Your second one has an inverse.
The reason an inverse is a function is because it is bijective. http://en.wikipedia.org/wiki/Function_(mathematics)#Injective_and_surjective_functions
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