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 solving for the inverse.

x=y+5

3. Isolate the variable y by subtracting 5 from 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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