Every day I swim the same number of laps in my pool. After completing a certain number of laps I have swum 20% of the total and
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Given function: .
We need to find the inverse of the given function f(x).
Let us write the function in terms of x and y first.
Now, in order to find the inverse, we need to switch x and y, we get
Now, we need to solve it for y.
In order to solve it for y, we need to isolate it for y.
Adding 1 on both sides, we get
Dividing both sides by -4, we get
In order to get rid square root from right side, we need to square both side.
Or
Therefore, inverse function is
.