Determine Whether the Function Has an Inverse Function, If It $f ( x ) = 36 + x ^ { 2 } , x \leq 0$

question 77

Multiple Choice

Determine whether the function has an inverse function, If it does, find its inverse function. $f ( x ) = 36 + x ^ { 2 } , x \leq 0$

• A)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = - \sqrt { x - 36 } , x \geq 36\)
• B)No, \(f\) does not have an inverse function.
• C)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = - \sqrt { x + 36 } , x \geq 36\)
• D)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = \sqrt { x - 36 } , x \geq 36\)
• E)Yes, \(f\) has an inverse function, \(f ^ { - 1 } ( x ) = - \sqrt { x - 36 } , x \leq 36\)

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