3. Five people equally share 2 pizas person get? much pizza does each pers

7. กำหนด \( B=\{5,8,9,10,11\}, A \cup B=\{5,6,7,8,9,10,11\} \) และ \( A \cap B=\{9,11\} \) แล้ว เซต \( A \) ตรงกับข้อใด \( \begin{array}{ll}\text { ก. }\{5,6,7, \ldots, 11\} & \text { ข. }\{6,7,9,11\} \\ \text { ค. }\{6,7\} & \text { ง. }\{9,11\}\end{array} \)

Question 1 Use exponent rules to simplify the following, giving all answers with positive exponents. (a) \( 6^{3} \times 6^{-5} \times 6^{-2} \)

Find the number of oranges in a tetrahedron with four layers. The number of oranges in a tetrahedron with \( n \) layers is \( \frac{1}{6} n(n+1)(n+2) \). Check that this expression gives the correct answer with \( n=4 \). c A shopkeeper has 100 oranges. He wants to display them in a tetrahedron. Work out the largest number of layers he can have. dhow how to use the formula to add the first 20 triangular numbers.

2. For each of the following power function sketch its graphs and state is properties (domain, range, \( \mathrm{x} \& \mathrm{y} y \) intercepts and generalize for the case of each function based on its power and coefficients) \( \begin{array}{llll}\text { a. } f(x)= \pm 2 x^{\frac{3}{2}} & \text { c. } f(x)= \pm 3 x^{ \pm \frac{3}{2}} & \text { e. } f(x)=\frac{5}{x^{-\frac{2}{3}}} & \text { g. } h(x)=\sqrt{2} x^{\frac{4}{3}}\end{array} \)

If \( f(x)=x^{2}-2 \) and \( g(x)=x+4 \), find \( (f \circ g)(3) \) and \( (g \circ f)(-2) \) a) \( (f \circ g)(3) \) b) \( (g \circ f)(-2) \) \( (g \circ f)(-2)= \)