Calculer f(2) et déduire que f(x) 9 pour tout x R.

April 16, 2026Mathematics

ScanSolve AI Answer

April 16, 2026

Answer

2 $dans l'expression de$ f(x) = -x^2 + 4x + 5$.

Partie A

1. Calculer $f(2)$ et déduire que $f(x) \le 9$ pour tout $x \in \mathbb{R}$ .

Step 1: Calculer $f(2)$ . On substitue $x=2$ dans l'expression de $f(x) = -x^2 + 4x + 5$ . $f(2) = -(2)^2 + 4(2) + 5$ $f(2) = -4 + 8 + 5$ $f(2) = 9$

Step 2: Déduire que $f(x) \le 9$ pour tout $x \in \mathbb{R}$ .

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Partie A 1. Calculer f(2) et déduire que f(x) 9 pour tout x R.

Asked on April 16, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 16, 2026

Partie A 1. Calculer f(2) et déduire que f(x) 9 pour tout x R. Step 1: Calculer f(2). On substitue x=2 dans l'expression de f(x) = -x^2 + 4x + 5. f(2) = -(2)^2 + 4(2) + 5 f(2) = -4 + 8 + 5 f(2) = 9 Step 2: Déduire que f(x) 9 pour tout x R.