Saturday
May 25, 2013

# Homework Help: Math

Posted by Hannah on Monday, November 8, 2010 at 4:40pm.

Find the inverse of the function
f(x) = x / 2x+1

I know that you would make this
x= y / 2x+1 but now I do not know what to do.

• Math - bobpursley, Monday, November 8, 2010 at 4:45pm

no, not exactly.

y=x/(2x+1)
2xy+y=x
x(2y-1)=-y I skipped a step here, work it out

2xy-x=-y
x(2y-1)=-y
x=-y/(2y-1)

so the inverse function is

f'(x)=-x/(2x-1)

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