Suppose that the functions \( g \) and \( f \) are defined as follows. \( g(x)=x-5 \) \( f(x)=(x+6)(x-6) \) (a) Find \( \left(\frac{g}{f}\right)(-2) \). (b) Find all values that are NOT in the domain of \( \frac{g}{f} \). If there is more than one value, separate them with commas. (a) \( \left(\frac{g}{f}\right)(-2)= \) fil (b) Value(s) that are NOT in the domain of \( \frac{g}{f}: \square \)

\( \sqrt { n ^ { 2 } - 1 } - ( n + 1 ) = \frac { ( n ^ { 2 } - 1 ) - ( n + 1 ) ^ { 2 } } { \sqrt { n ^ { 2 } - 1 } + ( n + 1 ) } = \frac { - 2 n - 2 } { \sqrt { n ^ { 2 } - 1 } + ( n + 1 ) } \rightarrow - 1 \)

268. Решите уравнение: \( \begin{array}{l}\text { а) }(y+2)\left(y^{2}-2 y+4\right)-y(y-3)(y+3)=44 \text {; } \\ \text { б) }(m-3)\left(m^{2}+3 m+9\right)-m(m+2)(m-2)=13 \text {; } \\ \text { B) }(3 a+1)\left(9 a^{2}-3 a+1\right)-3 a\left(9 a^{2}+4\right)=25 \text {; }(2 n-1)\left(4 n^{2}+2 n+1\right)-4 n\left(2 n^{2}-5\right)=21 \text {. }\end{array} \).

\( \log _ { 2 } ^ { 2 } x - 15 \log _ { 5 } x - 4 \leq 0 \)

Evaluate the following function. Your answer should be an integer. \( f(x)=-3^{2 x-2} \), for \( x=3 \) Your answer is \( f(3)=\square \)

7. \( a, b \) ve \( c \) gerçel sayıları için \( a>0>b \cdot a \) \( b>c \) olduğuna göre, aşağıdakilerden hangisi kesinlil pozitiftir? \( \begin{array}{lll}\text { A) } a \cdot c & \text { B) } a \cdot b \cdot c & \text { C) } c \\ \text { D) } a+c & \text { E) } b^{2} \cdot c\end{array} \)