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

Problem

ƒ(x)=2*x+4

Solution

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

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 subtracting 4 from both sides of the equation.

x−4=2*y

4. Solve for y by dividing both sides by 2

y=(x−4)/2

5. Simplify the expression by dividing each term in the numerator by the denominator.

y=1/2*x−2

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

ƒ(x)(−1)=1/2*x−2

Final Answer

ƒ(x)(−1)=1/2*x−2

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