Find the Inverse f(x)=2x

Problem

ƒ(x)=2*x

Solution

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

y=2*x

2. Swap the variables x and y to represent the inverse relationship.

x=2*y

3. Solve for y by dividing both sides of the equation by 2

x/2=y

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

ƒ(x)(−1)=x/2

Final Answer

ƒ(x)(−1)=x/2

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