The elevation \( E \), in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the function shown below. At what elevation is the boiling point \( y=e^{t} \) where \( t=109.5^{\circ} \mathrm{C} \)

Which of the following exponential functions is an increasing function? Choose the correct answer below. \( f(x)=\left(\frac{5}{2}\right)^{x} \) \( f(x)=0.3^{x} \) \( f(x)=\left(\frac{2}{7}\right)^{x} \) \( f(x)=0.8^{x} \)

The function modeling this situation is \( y=100 \cdot \mathbf{0 . 1 3 5}{ }^{2} \). Calculate the percent of light available at a depth of 29 inches. \%

If \( f(x)=\sqrt{x+4} \) and \( g(x)=\frac{5}{x} \), then which of the following does \( (f \circ g)(x) \) equal? Choose the correct answer below. \( \frac{5}{\sqrt{x}}+4 \) \( \frac{\sqrt{\frac{5}{x+4}}}{\frac{5}{\sqrt{x+4}}} \) \( \sqrt{\frac{5}{x}+4} \)

Which transformations must be applied to obtain the graph of \( f(x)=5^{x+4} \) ? Select all that apply. \( \square \) A. Horizontal compression or stretch \( \square \) B. Reflection about the \( y \)-axis \( \square \) C. Reflection about the \( x \)-axis \( \square \) D. Vertictal shift \( \square \) E. Vertical compression or stretch \( \square \) F. Horizontal shift

Find functions \( f \) and \( g \) so that \( f \circ g=H \). \( H(x)=|2 x+7| \) Choose the correct pair of functions. A. \( f(x)=|x|, g(x)=2 x+7 \) B. \( f(x)=|-x|, g(x)=\frac{x-7}{2} \) C. \( f(x)=2 x+7, g(x)=|x| \) D. \( f(x)=\frac{x-7}{2}, g(x)=|-x| \)