SOLUTION: given f(x)= (7/x)-3 find f^-1(x)

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Question 676011: given f(x)= (7/x)-3 find f^-1(x)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
given f(x)= (7/x)-3 find f^-1(x)
.
f(x)= (7/x)-3
y= (7/x)-3
switch x for y and y for x:
x= (7/y)-3
solve for y:
xy = 7-3y
xy+3y = 7
y(x+3) = 7
y = 7/(x+3)
.
so:
f^-1(x) = 7/(x+3)