Determine whether the function has an inverse function.If it does, find the inverse function.
$h ( x ) = - \frac { 4 } { x ^ { 2 } }$
A) $h ^ { - 1 } ( x ) = \frac { 4 } { x ^ { 2 } }$
B) $h ^ { - 1 } ( x ) = - \frac { x ^ { 2 } } { 4 }$
C) $h ^ { - 1 } ( x ) = - \frac { 4 } { x ^ { 2 } }$
D) $h ^ { - 1 } ( x ) = \frac { x ^ { 2 } } { 4 }$
E)No inverse

Question

Determine whether the function has an inverse function.If it does, find the inverse function. 
 $h ( x ) = - \frac { 4 } { x ^ { 2 } }$  
A) $h ^ { - 1 } ( x ) = \frac { 4 } { x ^ { 2 } }$
B) $h ^ { - 1 } ( x ) = - \frac { x ^ { 2 } } { 4 }$
C) $h ^ { - 1 } ( x ) = - \frac { 4 } { x ^ { 2 } }$
D) $h ^ { - 1 } ( x ) = \frac { x ^ { 2 } } { 4 }$
E)No inverse

Quizplus · Accepted Answer

The function $h(x) = -\frac{4}{x^2}$ does not pass the horizontal line test because for any given y-value (except 0), there are two x-values that map to it, indicating that the function is not one-to-one and therefore does not have an inverse.

Determine Whether the Function Has an Inverse Function h(x)=−4x2h ( x ) = - \frac { 4 } { x ^ { 2 } }h(x)=−x24​

Determine Whether the Function Has an Inverse Function $h ( x ) = - \frac { 4 } { x ^ { 2 } }$