Find the range of the following piecewise function.
1 answer:
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Given:
The function is:
To find:
The steps of finding the inverse function .
Solution:
We have,
The steps of finding the inverse function are:
Step 1: Substitute .
Step 2: Interchange x and y.
Step 3: Taking square on both sides, we get
Step 4: Adding 21 on both sides, we get
Step 5: Divide both sides by 7.
Step 6: Substitute .
, where
.
Therefore, the inverse of the given function is and the arrangement of steps is shown above.