Find the Inverse f(x)=3x-2

Problem

ƒ(x)=3*x−2

Solution

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

y=3*x−2

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

x=3*y−2

3. Isolate the y term by adding 2 to both sides of the equation.

x+2=3*y

4. Solve for y by dividing both sides by 3

y=(x+2)/3

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

ƒ(x)(−1)=(x+2)/3

Final Answer

ƒ(x)(−1)=(x+2)/3

Want more problems? Check here!