Find the Inverse f(x)=3x-1

Problem

ƒ(x)=3*x−1

Solution

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

y=3*x−1

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

x=3*y−1

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

x+1=3*y

4. Solve for y by dividing both sides by 3

y=(x+1)/3

5. Rewrite the result using inverse function notation ƒ(x)(−1)

ƒ(x)(−1)=(x+1)/3

Final Answer

ƒ(x)(−1)=(x+1)/3

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