haley6441 haley6441
  • 15-11-2020
  • Mathematics
contestada

g(n) =-n + 2
How can I find the inverse of this equation?

Respuesta :

absor201
absor201 absor201
  • 15-11-2020

Answer:

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

Step-by-step explanation:

Given the function

[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]

As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]

[tex]y=-n+2[/tex]

Replace n with y

[tex]n=-y+2[/tex]

Solve for y,

[tex]n=-y+2[/tex]

[tex]y=2-n[/tex]

Therefore,

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

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