f ( x ) = 2 x − 5 , g ( x ) = 2 − x ( f − g ) ( x ) = f ( x ) − g ( x ) = 2 x − 5 − ( 2 − x ) = 2 x − 5 − 2 + x = 3 x + 5 d o main : g f = 2 − x 2 x − 5 2 − x = 0 x = 2 D = R ∖ { 2 }
The difference between the functions is ( f − g ) ( x ) = 3 x − 7 , and the domain of g f is all real numbers except x = 2 .
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