Find the Inverse f(x)=x-5

Problem

ƒ(x)=x−5

Solution

1. Replace the function notation ƒ(x) with the variable y

y=x−5

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

x=y−5

3. Solve for y by adding 5 to both sides of the equation.

x+5=y

4. Rewrite the equation using inverse function notation ƒ(x)(−1)

ƒ(x)(−1)=x+5

Final Answer

ƒ(x)(−1)=x+5

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