Find the Inverse f(x)=3x+5

Problem

ƒ(x)=3*x+5

Solution

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

y=3*x+5

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

x=3*y+5

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

x−5=3*y

4. Solve for y by dividing both sides by 3.

y=(x−5)/3

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

ƒ(x)(−1)=(x−5)/3

Final Answer

ƒ(x)(−1)=(x−5)/3

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