Find the Inverse f(x)=x-3

Problem

ƒ(x)=x−3

Solution

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

y=x−3

2. Interchange the variables x and y to represent the inverse relationship.

x=y−3

3. Solve for y by adding 3 to both sides of the equation.

x+3=y

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

ƒ(x)(−1)=x+3

Final Answer

ƒ(x)(−1)=x+3

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