Find the Inverse of the Function $$f ( x ) = \sqrt { 2 x + 1 }$$

question 152

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = \sqrt { 2 x + 1 }$$

• A) \(f ^ { - 1 } ( x ) = \frac { ( x - 1 ) ^ { 2 } } { 2 }\) for \(x \geq 0\)
• B) \(f ^ { - 1 } ( x ) = \frac { x ^ { 2 } } { 2 } - 1\) for \(x \geq 0\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 2 \mathrm { x } - 1 } { 2 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } ^ { 2 } - 1 } { 2 }\) for \(x \geq 0\)

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