CliveU299834 CliveU299834
  • 29-10-2022
  • Mathematics
contestada

Find f-1(x).f(x) = (x+2) 2-5

Respuesta :

DameionB571037 DameionB571037
  • 29-10-2022

Solution

We have the following function given:

[tex]f(x)=(x+2)^2-5[/tex]

And we want to find the inverse so then we can apply this procedure:

1) Replace x by y:

[tex]x=(y+2)^2-5[/tex]

2) Solve for y and we got:

[tex]x+5=(y+2)^2[/tex]

Taking the square root and we got:

[tex]y+2=\sqrt[]{x+5}[/tex]

And we got:

[tex]y=\pm\sqrt[]{x+5}-2[/tex]

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