sewil2011 sewil2011
  • 05-02-2021
  • Mathematics
contestada

The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)

The inverse fx of fx X 5 Х can be written as 5 x1 a Find f2 b Find f2 class=

Respuesta :

kritika3375
kritika3375 kritika3375
  • 05-02-2021

Step-by-step explanation:

Given

[tex]f(x) = \frac{x + 5}{x} [/tex]

So

[tex]f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} [/tex]

Now

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

So

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

Hope it will help :)❤

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