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

Problem

ƒ(x)=2*x+5

Solution

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

y=2*x+5

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

x=2*y+5

3. Isolate the term containing y by subtracting 5 from both sides of the equation.

x−5=2*y

4. Solve for y by dividing both sides by 2.

y=(x−5)/2

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

ƒ(x)(−1)=(x−5)/2

Final Answer

ƒ(x)(−1)=(x−5)/2

Want more problems? Check here!