janieples janieples
  • 12-07-2022
  • Mathematics
contestada

Find the inverse function.
f(x) =
f-¹(x) =
=
=
2x+5
4
4x + [?]
[

Find the inverse function fx fx 2x5 4 4x class=

Respuesta :

Medunno13
Medunno13 Medunno13
  • 16-07-2022

Answer: [tex]f^{-1} (x)=\frac{4x-5}{2}[/tex]

Step-by-step explanation:

Let [tex]f(y)=x\\[/tex].

[tex]\implies x=\frac{2y+5}{4}\\\\4x=2y+5\\\\4x-5=2y\\\\y=\frac{4x-5}{2}\\\\\therefore f^{-1} (x)=\frac{4x-5}{2}[/tex]

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