Consider the functions \( f(x)=7 x+8 \) and \( g(x)=\frac{1}{7}(x-8) \). (a) Find \( f(g(x)) \). (b) Find \( g(f(x)) \). (c) Determine whether the functions \( f \) and \( g \) are inverses of each other. (a) What is \( f(g(x)) \) ? \( f(g(x))=\square \) (Simplify your answer.)

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

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

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

Middle term of expansion \[ \left(3 x-\frac{x^{3}}{6}\right)^{9} \]

ii) \( \frac{3}{x+2}-\frac{2}{x}=\frac{x-4}{x^{2}+2 x} \)