Find the Inverse f(x)=2x-4

Problem

ƒ(x)=2*x−4

Solution

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

y=2*x−4

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

x=2*y−4

3. Isolate the term containing y by adding 4 to both sides of the equation.

x+4=2*y

4. Solve for y by dividing both sides by 2

y=(x+4)/2

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

ƒ(x)(−1)=x/2+2

Final Answer

ƒ(x)(−1)=(x+4)/2

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