B

9000021808

Level: 
B
Find the domain of the following function. \[ f(x) = \sqrt{\frac{(x - 3)(x + 2)} {(1 - x)(3 - x)}} \]
\(\mathop{\mathrm{Dom}}(f) = (-\infty ;-2] \cup (1;3)\cup (3;\infty )\)
\(\mathop{\mathrm{Dom}}(f) = (-\infty ;-2)\cup (1;3)\)
\(\mathop{\mathrm{Dom}}(f) = (-\infty ;-2] \cup (1;\infty )\)
\(\mathop{\mathrm{Dom}}(f) =[ -2;1)\cup (3;\infty )\)

9000020409

Level: 
B
One of the solutions of the quadratic equation \( x^{2} + bx - 10 = 0\) is \(x_{1} = 5\). Find the second solution \(x_{2}\) and the value of the coefficient \(b\).
\(x_{2} = -2\) and \(b = -3\)
\(x_{2} = -3\) and \(b = -2\)
\(x_{2} = 2\) and \(b = 3\)
\(x_{2} = 3\) and \(b = 2\)