Given the function \( g(x) = \frac{1}{x-5} \), determine the equation of its inverse after reflecting it over the line \( y = x \).

\( 9 x+7 \) for \( x=5 \)

Lakarkan graf kuadratik \( f(x)-2(x+2)^{2}+3 \). Seterusnya, bentukkan persamaan kuadratil [ika graf tersebut dianjak 3 unit ke kanan Sketch the graph of quadratic \( f(x)=2(x+2)^{2}+3 \). Hence, form a quadratic equation if th fraph is shifted 3 units to the night. [3 mark

What is the approximate solution to this equation? \( 4 \ln x-8=12 \) A. \( x \approx 59,874 \) B. \( x \approx 10.5 \) C. \( x \approx 1.61 \) D. \( x \approx 148.4 \)

Which expression is equivalent to \( 32 \sqrt[3]{18 y} \div 8 \sqrt[3]{3 y} \), if \( y \neq 0 \) ? A. \( 12 \sqrt[3]{2 y^{2}} \) B. \( 4 \sqrt[3]{6} \) C. \( 4 \sqrt[3]{15 y} \) D. \( 4 \sqrt[3]{6 y} \)

Which expression is equivalent to \( 32 \sqrt[3]{18 y} \div 8 \sqrt[3]{3 y} \), if \( y \neq 0 \) ? A. \( 12 \sqrt[3]{2 y^{2}} \) B. \( 4 \sqrt[3]{6} \) C. \( 4 \sqrt[3]{15 y} \) D. \( 4 \sqrt[3]{6 y} \)