Suppose that \( G(x)=\log _{4}(2 x-2)-3 \). (a) What is the domain of G ? (b) What is \( \mathrm{G}(129) \) ? What point is on the graph of G ? (c) If \( \mathrm{G}(\mathrm{x})=2 \), what is x ? What point is on the graph of G ? (d) What is the zero of G ? (a) The domain of G is

Simplify \( \frac{8}{\sqrt{6}+2} \)

Julie swam, biked, and ran in a 22.2 mile triathlon. She completed the race in 2.15 hours. The function \( m=13.8 \mathrm{~h} \) represents the miles \( m \) Julie biked in \( h \) hours. Was her average speed biking less than or greater than her average speed for the entire race? Justify your answer. Round to the nearest tenth if necessary.

Write the expression as a sum and/or difference of logarithms. Express powers as factors. \[ \log _{2}\left(\frac{x^{10}}{x-8}\right), x>8 \] \( \log _{2}\left(\frac{x^{10}}{x-8}\right)=\square \) (Simplify your answer.)

determine whether the given quadratic function has a maximum or a minimum value and then find the value. \( y=-x^{2}+6 x-5 \) \( \begin{array}{lll}\text { [A] minimum, } 3 & \text { [B] minimum, } 4 & \text { [C] maximum, } 4\end{array} \quad \) [D] maximum, 3 A \( \begin{array}{ll}\text { B }\end{array} \) \( \begin{array}{l}\text { C }\end{array} \)

Write expression \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right) \) as a sum or difference of logarithms with no exponents. Simplify your answer completely. \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right)=\square \)