Sagot :
Bonjour,
1)
[tex]\forall x\in\mathbb{R} \backslash \{-1\}:\\\\f(x) = 2x - 3 + \frac{1}{x + 1} = \frac{(2x - 3)(x+1) + 1}{x+1} \\\\= \frac{2x^2 + 2x -3x - 3 + 1}{x + 1} = \boxed{\frac{2x^2 - x - 2}{x + 1} = f(x)}[/tex]
Bonne journée.
Bonjour,
1)
[tex]\forall x\in\mathbb{R} \backslash \{-1\}:\\\\f(x) = 2x - 3 + \frac{1}{x + 1} = \frac{(2x - 3)(x+1) + 1}{x+1} \\\\= \frac{2x^2 + 2x -3x - 3 + 1}{x + 1} = \boxed{\frac{2x^2 - x - 2}{x + 1} = f(x)}[/tex]
Bonne journée.