\( f ( x , y ) \in R \times R | y = \sqrt { x ^ { 2 } } + 2 \)

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

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

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

Let \( A=\left[\begin{array}{cc}4 & 5 \\ 1 & -5\end{array}\right] \) and \( B=\left[\begin{array}{cc}2 & -6 \\ 2 & 3\end{array}\right] \) Find \( -2 A+5 B \) \( -2 A+5 B= \)

\[ 11^{-x-4}=4^{3 x} \] Write the exact answer using either base-10 or base-e logarithms. \( x=\square \)