Find the Inverse f(x)=5x+2

Problem

ƒ(x)=5*x+2

Solution

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

y=5*x+2

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

x=5*y+2

3. Isolate the term containing y by subtracting 2 from both sides of the equation.

x−2=5*y

4. Solve for y by dividing both sides by 5

y=(x−2)/5

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

ƒ(x)(−1)=(x−2)/5

Final Answer

ƒ(x)(−1)=(x−2)/5

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