Explain how to verify if two functions are inverses of each other using compositional notation.

Задание 2 . Про положительные числа \( a, b, c, d \) известно, что \( a+d=22 \) и \( b+c=30 \). Вычнслите наименьшее значение выражения \( \sqrt{a^{2}+b^{2}}+\sqrt{25+c^{2}}+\sqrt{d^{2}+36} \).

Linear Speed Find the linear speed for the following. 15. The second hand of a clock is 11.25 centimeters long. Find the linear speed of the tip of the second hand as it passes around the clock face. 16. The blades of a wind turbine are 85 feet. The propeller rotates at 13 revolutions per minute. Find the linear speed of the tips of the blades.

II, Choose the correct answer from the given alternative. (1.5 pts each) 9.If \( =\left\{(x, y): y=x^{2}+1\right\} \) then which one of the following is the range of \( R \) ? A. IR \( \quad \) B. \( [1, \infty) \quad \) C. \( [0, \infty) \) D. IR \( \backslash\{0\} \) 10. The domain of the function \( f(x)=x^{\frac{3}{4}} \) is? \( \begin{array}{llll}\text { A. IR } \backslash 0\} & \text { B. IR } \quad \text { C. }[0, \infty) & \text { D. }(-\infty, 0] \\ \text { 11. If } x=14 \text { then }\lfloor x\rfloor \text { is equal to;- A. } 13 & \text { B. } 14 & \text { C. } 15 & \text { D. } 14\end{array} \)

6) \( \log _{\pi}(1-\sin x)+\log _{\pi}(1+\sin x)-2 \log _{\pi}(\cos x) \) ifadesinin sadeleşmiş hali hangisidir? A) 0 B) 1 C) \( \log _{\pi}\left(\frac{\sin ^{2} x}{2 \sin x}\right) \) D) \( \log _{\pi}\left(-\frac{\sin ^{2} x}{2 \sin x}\right) \) E) \( -2 \log _{\pi}(2 \sin x) \)

Using Logtabler evaluate \[ \sqrt{\frac{4.684 \times 2.497}{\tan 87^{\circ}}} \]