\( f(x)=5 x+9 ; g(x)=3 x-8 \) What is the domain of \( \frac{f}{g} \) ? Select the correct choice below and, if necessary, fill in the answe choice. A. The domain is \( \{x \mid \square \). (Use integers or fractions for any numbers in the expression. Use a comma to separa

Which of the following is the value of the function \( f(x)=\left|4 x^{2}-8\right|+2 \) given \( \mathrm{x}=2 \) ? a. 8 b. 9 c. 10 d. 11 Evaluate the function \( h(x)=|x|-11 \) given \( x=3.5 \). a. -8 b. 8 c. -9 d. 9 Give the value of the of the function \( c(x)=3 x^{2}-36 \) at \( c(5) \). a. -21 b. 14 c. 111 d. 39

(116) \( 3(\sqrt{3}+\sqrt{6})^{2}-(\sqrt{14}+\sqrt{7})^{2}-6 \)

Compute each sum below. If applicable, write your answer as a fraction. \( 2+2(-2)+2(-2)^{2}+\ldots+2(-2)^{7}=\square \) \( \sum_{k=1}^{9}\left(\frac{1}{3}\right)^{k}=\square \)

\( 117)(5 \sqrt{2}+3)(5 \sqrt{2}-3)-(14 \sqrt{3}-1)-7(\sqrt{1,5}-\sqrt{2})^{2} \).

Use the Rational Root Theorem to list all possible rational roots of the polynomial \( 2x^{3} - 6x^{2} + 3x - 9 \).