Resolver gráficamente: a) \( \left\{\begin{array}{c}x+y=11 \\ 3 x-y=5\end{array} \quad\right. \) b) \( \left\{\begin{array}{c}2 x-y=7 \\ -x+2 y=-5\end{array}\right. \)

Solve for \( x \) : \( 3^{x}=32 \) \( x= \) You may enter the exact value or round to 4 decimal places.

If \( 25 \% \) of two-thirds of a number is 10 , find the number. \( \begin{array}{ll}\text { A) } 75 & \text { B) } 120 \\ \text { C) } 60 & \text { D) } 30\end{array} \)

Show that \( (f \cdot g)^{-1}=g^{-1} \cdot f^{-1} \) given that \( f(x)=\frac{x-1}{x+2} \) \( g(x)=\frac{5}{x-5} \)

*a). Given that \( f(x)=2 x+1 \) and \( g(x)=x^{2}-2 \), obtain (i) \( f \circ g(0) \) (ii) \( \left(g \circ f^{-1}(-2)\right. \)

1. \( \frac{x}{3}=\frac{2}{3} \) \( x=3(2)(3) \)