Graded Test (1) If \( x=2 \) and \( y=3 \), find the foll: a) \( 3 x+5 y \) i) \( 2 x^{2}-3 y \)

lify \( \left(\frac{x^{-2} y^{-1 / 3}}{x^{-5 / 3} y^{-2 / 3}}\right)^{3} \) so there

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 \( -2 A+5 B \) \( -2 A+5 B= \)

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

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

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