7. Consi dere las funciones \( f(x)=\frac{2 x-1}{x+2} \) y \( g(x)=\ln x \) (a) Halle la función compuesta \( h(x)=(f \circ g)(x) \) y su dominio.

There was a sample of 300 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by \( 6.1 \% \) each year. Let \( t \) be the number of years since the start of the study. Let \( y \) be the mass of the sample in milligrams. Write an exponential function showing the relationship between \( y \) and \( t \).

Graph the function. \( f(x)=\log _{4}(x+2) \)

Transformations \( y=f(x) \) is stretched vertically about the \( x \) axis by a factor of 2 , reflected in the \( y \) axis and translated 1 unit up and four units to the left. 12. An equation for \( g(x) \) in terms of \( f(x) \) is A. \( g(x)=2 f(-x-4)+1 \) B. \( g(x)=2 f(-x+4)+1 \) C. \( g(x)=-\frac{1}{2} f(x+4)-1 \) D. \( g(x)=-\frac{1}{2} f(x-4)-1 \)

de la finción. 11) Un proyectit es disparado siguiendo un a trayecto parabólica, dada por la función \( h(t)=-t^{2}+8 t \) en donde \( h(t) \) es la altura en metros y \( t \) el the en segundos. Halle et tirmpo in que alcanja su altura máxima y ¿'cuáles el valor dela altura máxima?

\( \begin{array}{l}\text { As a result of the transformation of the graph of } y=f(x) \text { into the graph of }-\frac{1}{9}(y-4)=f\left[\frac{1}{2} x+4\right] \text {, point } \\ (7,-2) \text { becomes point }(p, q) \text {. } \\ \text { Numerical Response } \\ \text { 7. The values of } p \text { and } q \text { are and _-_ } \\ \text { (Record your answer in the numerical-response section on the answer sheet) }\end{array} \).