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

Problem

ƒ(x)=2*x+1

Solution

1. Replace ƒ(x) with y to make the equation easier to manipulate.

y=2*x+1

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

x=2*y+1

3. Isolate the term containing y by subtracting 1 from 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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