ok. i need to find the inverse of f(x)= (5 + 5x)/ (7 - 3x). I know you need to switch x and y and solve for y. but i only got as far as 7x - 3xy - 5 = 5y. and now i don't know how to get y by itself. its probably something really obvious that i'm just completely spacing
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f(x) = (5+5x)/(7-3x)
So switching x and y:
x = (5+5y)/(7-3y)
x(7-3y) = (5+5y)--multiply denominator to other side
7x - 3xy = 5 + 5y--distribute x on left side
7x - 5 = 5y + 3xy--Isolate variables as much as possible
7x - 5 = y(5 + 3x)--Distributive property, move the common y's out
(7x - 5)/(5 + 3x) = y--Divide other side by what you pulled y out of
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Just kidding.
At least you always have Grady to help you in your hour of need ^___^
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