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f(x) if f(x-2)=2-x
RSM IS KILLING ME HERE
also there's some more like this but if ik how to do this i might be able to figure those out

thanks!

Respuesta :

semsee45

Answer:

[tex]f(x)=-x[/tex]

Step-by-step explanation:

[tex]f(x-2)=2-x[/tex]

To change [tex]f(x - 2)[/tex] into [tex]f(x)[/tex], substitute [tex]x=x+2[/tex]:

[tex]\implies f((x+2)-2)=f(x+2-2)=f(x)[/tex]

Therefore, substitute [tex]x=x+2[/tex] into both sides of [tex]f(x-2)=2-x[/tex]:

[tex]\implies f((x+2)-2)=2-(x+2)[/tex]

[tex]\implies f(x)=-x[/tex]

Let's spot out.

  • f(x-2)=2-x

Put x+2 in place of x

  • f(x+2-2)=2-(x+2)
  • f(x)=2-x-2
  • f(x)=-x

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