Find the Inverse f(x)=4x-3

Problem

ƒ(x)=4*x−3

Solution

1. Replace the function notation ƒ(x) with y to make the algebraic manipulation easier.

y=4*x−3

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

x=4*y−3

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

x+3=4*y

4. Solve for y by dividing both sides of the equation by 4

y=(x+3)/4

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

ƒ(x)(−1)=(x+3)/4

Final Answer

ƒ(x)(−1)=(x+3)/4

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