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nevsk [136]
3 years ago
15

What is the inverse of h(x)=x2+4

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0

Answer:

h − 1 ( x ) = √ x − 4 , − √ x − 4

Step-by-step explanation:

Triss [41]3 years ago
3 0

Answer:

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} }

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