Find the Inverse f(x)=3x-6

Problem

ƒ(x)=3*x−6

Solution

1. Replace ƒ(x) with y to make the algebraic manipulation easier.

y=3*x−6

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

x=3*y−6

3. Isolate the y term by adding 6 to both sides of the equation.

x+6=3*y

4. Solve for y by dividing both sides by 3

y=(x+6)/3

5. Simplify the expression by dividing each term in the numerator by the denominator.

y=1/3*x+2

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

ƒ(x)(−1)=(x+6)/3

Final Answer

ƒ(x)(−1)=(x+6)/3

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