Find the Inverse f(x)=3x-7

Problem

ƒ(x)=3*x−7

Solution

1. Replace ƒ(x) with y to set up the equation for manipulation.

y=3*x−7

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

x=3*y−7

3. Isolate the y term by adding 7 to both sides of the equation.

x+7=3*y

4. Solve for y by dividing both sides by 3

y=(x+7)/3

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

ƒ(x)(−1)=(x+7)/3

Final Answer

ƒ(x)(−1)=(x+7)/3

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