Answer:
- Blank 1:
- Blank 2:
Explanation:
The function under consideration is:
And the work is to state the steps to determine the inverse of the given function and to present the resulting inverse function of f(x).
<u>1. First step:</u>
Change to
This is to work algebraically with a variable instead with the name of the function.
Result:
<u>2. Second step:</u>
Switch and , and solve for .
Result:
<u>3. Third step:</u>
Now you can change to
Result:
<u>4. Fourth step</u>
State the domain of the function.
Since, the original function is defined only for x - 4 ≥ 0, you solve for x and get x ≥ 4.
Hence, the final blank is 4.