Fairy1108789 Fairy1108789
  • 03-08-2018
  • Mathematics
contestada

find the inverse of f(x) = (-1/5)x -1 and graph the function and its inverse.

Please help for 20 POINTS!

Respuesta :

rejkjavik rejkjavik
  • 03-08-2018

we are given

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

Inverse function:

we can set f(x)=y

[tex] y=-\frac{1}{5} x-1 [/tex]

now, we can switch x and y

[tex] x=-\frac{1}{5} y-1 [/tex]

now, we can solve for y

[tex] 5x=-5*\frac{1}{5} y-5 [/tex]

[tex] 5x=-y-5 [/tex]

[tex] y=-5x-5 [/tex]

[tex] f^{-1}=-5x-5 [/tex].........Answer

graph:

we can draw graph

Ver imagen rejkjavik
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