The domain of \( f(x) \) is the set of all real values except 7 , and the domain of \( g(x) \) is the set of all real values except -3 . Which of the following describes the domain of \( (g \circ f)(x) \) ? all real values except \( x \neq-3 \) and the \( x \) for which \( f(x) \neq 7 \) all real values except \( x \neq-3 \) and the \( x \) for which \( f(x) \neq-3 \) all real values except \( x \neq 7 \) and the \( x \) for which \( f(x) \neq 7 \) all real values except \( x \neq 7 \) and the \( x \) for which \( f(x) \neq-3 \)

Determine each feature of the graph of the given function. \[ f(x)=\frac{3 x+14}{2 x+3} \] Answer Horizontal Asymptote: \( y=\square \) Vertical Asymptote: \( x=\square \)-Intercept: \( (\square, 0) \) No ho \( x \)-intereept \( y \)-Intercept: \( (0, \square) \) No vo \( y \)-intercept Hole: \( (\square, \square) \) No hole

Sea \( f: R^{+} \longrightarrow R^{+} / f(x)=2 x^{2} \). ¿Es biyectiva

2. \( y=\left\{\begin{array}{ll}1, & \text { if } 0 \leq x<3 \\ 0, & \text { if } 3 \leq x<6 \\ -1, & \text { if } 6 \leq x<9 \\ -2, & \text { if } 9 \leq x<12\end{array}\right. \)

5. ( 0.6 ptos.) Si Carol tiene 2400 pies de cerca pa- ra cercar un corral rectangular para caballos. Las dimensiones del rectángulo que lleve al máximo el área del corral de largo y ancho son respectiva- mente:

The rat population in a major metropolitan city is given by the formula \( n(t)=29 e^{0.01 t} \) where \( t \) is measured in years since 1994 and \( n \) is measured in thousands. (a) What was the rat population in 1994? (b) What is the rat population going to be in the year 2009?