Given:
The function is
To find:
The inverse function .
Solution:
We have,
Step 1: Putting f(x)=y, we get
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Taking cube on both sides, we get
Step 4: Putting , we get
Therefore, the correct option is C.
Given that the function is
We need to determine the average rate of change over the interval
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function , we have;
Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function , we have;
Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
where and
Thus, we have;
Thus, the average rate of change over the interval is -1.
