Answer:
h − 1 ( x ) = √ x − 4 , − √ x − 4
Step-by-step explanation:
Answer:
[tex]let \: inverse \: of \: h(x) \: be \: m \\ m = \frac{1}{( {x}^{2} + 4) } \\ m( {x}^{2} + 4) = 1 \\ m {x}^{2} + 4m = 1 \\ m {x}^{2} = 1 - 4m \\ x = ( { \frac{(1 - 4m)}{m}) }^{ \frac{1}{2} } \\ therefore \\ {h}^{ - 1} (x) = ( \frac{1 - 4x}{x} ) {}^{ \frac{1}{2} } [/tex]
