Find the Inverse f(x)=2x+3

Problem

ƒ(x)=2*x+3

Solution

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

y=2*x+3

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

x=2*y+3

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

x−3=2*y

4. Solve for y by dividing both sides by 2

y=(x−3)/2

5. Rewrite the result using inverse function notation ƒ(x)(−1)

ƒ(x)(−1)=(x−3)/2

Final Answer

ƒ(x)(−1)=(x−3)/2

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