Final answer:
The value of f^-1(11) when f^-1(x) is represented as the square root of 2x+3 is 5.
Step-by-step explanation:
The value of f-1(11) when f-1(x) is given as sqrt{2x+3} can be found by substituting x with 11 into the provided function. This is a simple substitution problem where no quadratic equation or rearrangement is required.
Therefore, we calculate f-1(11) as follows:
- First, substitute x with 11 into the function: f-1(11) = sqrt{2(11) + 3}.
- Then, perform the arithmetic inside the square root: sqrt{22 + 3} = sqrt{25}.
- Finally, find the square root of 25, which is 5.
So, the value of f-1(11) is 5.