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

Problem

ƒ(x)=(3−x)/7

Solution

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

y=(3−x)/7

2. Swap the variables x and y to begin solving for the inverse function.

x=(3−y)/7

3. Multiply both sides of the equation by 7 to clear the fraction.

7*x=3−y

4. Isolate the y term by subtracting 3 from both sides.

7*x−3=−y

5. Solve for y by multiplying the entire equation by −1

y=3−7*x

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

ƒ(x)(−1)=3−7*x

Final Answer

ƒ(x)(−1)=3−7*x

Want more problems? Check here!