vivianmariscal10 vivianmariscal10
  • 21-08-2020
  • Mathematics
contestada

What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 21-08-2020

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]

Thank you.

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