A

9000035603

Level: 
A
Find the solution set of the following equation. \[ 4x^{2} + 9 = 0 \]
\(\left \{-\frac{3} {2}\mathrm{i}, \frac{3} {2}\mathrm{i}\right \}\)
\(\left \{-\frac{2} {3}\mathrm{i}, \frac{2} {3}\mathrm{i}\right \}\)
\(\left \{-\frac{9} {4}\mathrm{i}, \frac{9} {4}\mathrm{i}\right \}\)
\(\left \{-\frac{3} {2}, \frac{3} {2}\right \}\)

9000034902

Level: 
A
Find the domain of the following expression. \[ \log _{2}\left [\left (\frac{2} {3} - x\right )\left (x + \frac{1} {4}\right )\right ] \]
\(\left (-\frac{1} {4}; \frac{2} {3}\right )\)
\(\left (-\infty ;-\frac{1} {4}\right ] \cup \left [ \frac{2} {3};\infty \right )\)
\(\left (-\infty ;-\frac{1} {4}\right )\cup \left (\frac{2} {3};\infty \right )\)
\(\left [ \frac{1} {4}; \frac{2} {3}\right ] \)

9000034904

Level: 
A
Find all \(x\in \mathbb{R}\) for which the following expression is undefined. \[ \log _{\frac{1} {4} }\left [\left (x + \frac{1} {2}\right )\left (5 - 2x\right )\right ] \]
\(\left (-\infty ;-\frac{1} {2}\right ] \cup \left [ \frac{5} {2};\infty \right )\)
\(\left [ -\frac{1} {2}; \frac{5} {2}\right ] \)
\(\left (-\frac{1} {2}; \frac{5} {2}\right )\)
\(\left (-\infty ;-\frac{1} {2}\right )\cup \left (\frac{5} {2};\infty \right )\)

9000034901

Level: 
A
Find the domain of the following expression. \[ \sqrt{\left (2x - 3 \right ) \left (3x + 1 \right )} \]
\(\left (-\infty ,-\frac{1} {3}\right ] \cup \left [ \frac{3} {2},\infty \right )\)
\(\left [ -\frac{1} {3}, \frac{3} {2}\right ] \)
\(\left (-\frac{1} {3}, \frac{3} {2}\right )\)
\(\left (-\infty ,-\frac{1} {3}\right )\cup \left (\frac{3} {2},\infty \right )\)