reganl2005 reganl2005
  • 21-06-2022
  • Mathematics
contestada


Find the inverse of the following function.
f(x) = 5√x/5

Respuesta :

parsahosseinal14 parsahosseinal14
  • 04-07-2022

Step-by-step explanation:

well if you ment

[tex]5 \sqrt{ \frac{x}{5} } [/tex]

then the inverse is:

[tex]y = 5 \sqrt{ \frac{x}{5} } = = > {y}^{2} = 25( \frac{x}{5}) = = = > \\ {y}^{2} = 5x = = = > \frac{{y}^{2} }{5} = x = = = > \\{f}^{ - 1} (x) = \frac{ {x}^{2} }{5} [/tex]

and if you ment

[tex] 5 \frac{ \sqrt{x} }{5 } [/tex]

then the inverse is:

[tex]y = 5 \frac{ \sqrt{x} }{5} = = = > y = \sqrt{x} = = = = > \\ {y}^{2} = x = = = > \\ {f}^{ - 1} (x) = {x}^{2} [/tex]

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