a. \( (f \circ \mathrm{~g})(\mathrm{x})=\frac{23-2 \mathrm{x}}{5 \mathrm{x}-19} \) (Factor completely. Simplify your answer.) What is the domain of \( \mathrm{f} \circ \mathrm{g} \) ? Select the correct choice below and, if necessary, fill in the answer box to complete your cho (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) B. The domain is all real numbers.

3 Реши задачу. Один гончар заработал 1300 тенге, а другой, изготавливая такие же изделия, - 1950 тенге. Сколько изделий изготовил каждый из них, если первый изготовил на 2 изделия меньше, чем второй?

Para cuáles números x la expresión \( 16 \times 2+2 x-35 \) toma valores menores que los de \( 2 x+65 \).

\( x+y+z=6 \) \( 3 x-2 y+6 z=11 \) \( x+z=7 \) Selesaikan porsamaun ini dengan operas baris elementer-dengan actem porcyection.

23. REASONING A student theater charges \( \$ 9.50 \) per ticket. a. The theater has already sold 70 tickets. Write and solve an inequality that represents how many more tickets the theater needs to sell to earn at least \( \$ 1000 \). b. The theater increases the ticket price by \( \$ 1 \). Without solving an inequality, describe how this affects the total number of tickets needed to earn at least \( \$ 1000 \).

1. Given that \( f(x)=x^{2}, g(x)=\frac{2}{x} \) and \( h(x)=2 x \), Find the following: \( \begin{array}{ll}\text { (a) } g(h(x)) & \text { (b) } f^{-1}(h(x)) \\ \text { (c) } h(f(-1)) & \text { (d) } g^{-1}(f(-1)) \\ \text { (e) } g(h(f(x))) & \text { (f) } h^{-1}(f(g(x)))\end{array} \)