C

2000005306

Level: 
C
Use the graphs of the functions \(f(x)=x^2-4\) and \(g(x)=x+2\) to find the solution set of the following inequality. \[\frac{x^2-4}{x+2} \geq 0\]
\( x \in [ 2;+\infty) \)
\( x \in ( 2;+\infty) \)
\( x \in (-\infty;-2) \cup ( 2;+\infty) \)
\( x \in (-\infty;-2] \cup [ 2;+\infty) \)

2000005202

Level: 
C
From the given functions select a function \(f\) so that its inverse function \(f^{-1}\) has the graph shown in the picture.
\( f(x) = \sqrt{x+1};~x\in[ -1;\infty) \)
\( f(x) = x^2-1;~x\in (-\infty;0]\)
\( f(x) = \frac{1}{\sqrt{x-1}};~x\in[ -1;\infty) \)
\( f(x) = x^2-1;~x\in\ \mathbb{R} \)

2000004405

Level: 
C
We randomly choose natural numbers from between \(1\) to \(20\) so that each choice is equally probable. Let the event \(A\) be: the chosen number is divisible by \(5\). Let the event \(B\) be: the chosen number is smaller than \(11\). Find \(P(A\mid B)\).
\( \frac{1}{5}\)
\( \frac{2}{11}\)
\( \frac{1}{4}\)
\( \frac{2}{5}\)