\( 02.81+\frac{3}{8} x^{3} \) ni ko'paytuvchilarga

Convert the quadratic function \(y = x^2 - 4x - 5\) into standard form.

a) Determine if the relation is also a function. b) Give the domain and range of the relation or function. \( \{(6,8),(9,2),(4,1),(9,4),(6,9),(4,4)\} \)

5. Calcular el valor numérico de: \( E=\left(a^{2}+b^{2}\right)^{3}+\left(a^{2}-b^{2}\right)^{3}-6 b^{4}\left(a^{2}-b^{2}\right) \) Para: \( a^{3}=2 ; b^{3}=3 \) \( \begin{array}{lll}\text { A) } 62 & \text { B) } 63 & \text { C) } 64 \\ \text { D) } 65 & \text { E) } 66 & \end{array} \)

Write the expression as a single logarithm. Express powers as factors. \( \ln \left(\frac{x}{x-5}\right)+\ln \left(\frac{x+5}{x}\right)-\ln \left(x^{2}-25\right) \) \( \ln \left(\frac{x}{x-5}\right)+\ln \left(\frac{x+5}{x}\right)-\ln \left(x^{2}-25\right)=\square \)

The domain of \( f(x)=\frac{4 x-3}{4 x+3} \) is (Type your answer in interval notation. Simplif)