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

Problem

ƒ(x)=3*x+1

Solution

1. Replace 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 y term by subtracting 1 from both sides of the equation.

x−1=3*y

4. Solve for y by dividing both sides by 3

y=(x−1)/3

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

ƒ(x)(−1)=(x−1)/3

Final Answer

ƒ(x)(−1)=(x−1)/3

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