Find the Inverse f(x)=2x-1

Problem

ƒ(x)=2*x−1

Solution

1. Replace ƒ(x) with y to set up the equation for manipulation.

y=2*x−1

2. Swap the variables x and y to begin finding the inverse relationship.

x=2*y−1

3. Isolate the y term by adding 1 to both sides of the equation.

x+1=2*y

4. Solve for y by dividing both sides by 2

y=(x+1)/2

5. Replace y with the inverse function notation ƒ(x)(−1)

ƒ(x)(−1)=(x+1)/2

Final Answer

ƒ(x)(−1)=(x+1)/2

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