Respuesta :

Hello,

The inverse of the function is f^-1(X)=-3-x

How?

f (x)=-x-3

replace f(X) with y

y=-x-3

interchange the variables

x=-y-3

solve for y and replace f^-1 (X)


Hope this helps


[tex]f^{-1}[/tex](x) = x - 3

let y = x + 3 and rearrange making x the subject

x + 3 = y ← ( subtract 3 from both sides )

x = y - 3 ( change y to x )

[tex]f^{-1}[/tex]( x) = x - 3


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