Sorcice 1: \( f_{m} \) la famille de fonctions définies par: \( f_{m}(x)=x^{2}-2 m x+8 m-16 \quad(m \in \mathbb{R}) \) 1) Montrer que 4 est une racine de \( f_{m} \) quelle que soit la valeur de \( m \).

\[ \begin{array}{l}|x+6| \leq 7\end{array} \] Solve the absolute value inequality. A. The solution set in interval notation is (Simplify your answer.) The solution set is \( \varnothing \).

Determine whether the following equation defines \( y \) as a function of \( x \). \[ x^{2}+y=49 \] Does the equation \( x^{2}+y=49 \) define \( y \) as a function of \( x \) ? Yes No

Given \( f(x)=-3 x+4 \) and \( g(x)=x+7 \), what is the value of \( g(f(2)) ? \)

5. Fourth term of arith sequence is 11 , and the \( 6^{2} \) term is 17 . Find the second term. \( a_{4}=11 \quad a_{6}=17 \quad a_{1}+(n-1) \)

7. \( \begin{aligned} y & =2 x+8 \\ y & =-2 x\end{aligned} \)