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What is the value of f^-1 (11) when f^-1(x) is sqrt{2x+3}?

User DaveA
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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.

User Vadym Tyemirov
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