Engineering Board Exam Reviewer · Functions: Domain, Composition, and Inverses · medium

Find the inverse function of f(x)=2x-3/x+1.

1. f-1(x)=x+3/x-2
2. f-1(x)=x+3/2-x
3. f-1(x)=x-3/2-x
4. f-1(x)=x+1/2x-3

Answer

B. f-1(x)=x+3/2-x

Solution

Let y=2x-3/x+1 and solve for x: yx+y=2x-3 x(y-2)=-3-y x=y+3/2-y. So f-1(x)=x+3/2-x.

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