rajix rajix
  • 14-10-2021
  • Mathematics
contestada

If f(x)=x+3/x find f^-1(x)

If fxx3x find f1x class=

Respuesta :

Vitor23
Vitor23 Vitor23
  • 17-10-2021

Answer:

f^-1(x)=3/(x-1)

Step-by-step explanation:

For us to find the inverse, we firstly do f(x)=y

so,

y=(x+3)/x

Then, we switch y for x and x for y, so we get

x=(y+3)/y

Now we rearrange for y.

x=(y+3)/y

yx=(y+3)

yx-y=3

y(x-1)=3

y=3/(x-1)

therefore, f^-1(x)=3/(x-1)

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