Question

Suppose you have two linear functions f and g shown below

Then $\left( - 2\pi, - \frac{3\pi}{2} \right\rbrack \cup \left\lbrack - \frac{\pi}{2}, - 1 \right\rbrack \cup \left\lbrack 1,\frac{\pi}{2} \right\rbrack$ is –

$\sqrt{\frac{x - 1}{x - 2\{ x\}}}$

• A. Does not exist
• B. Not enough information
• C. 2
• D. 3

Answer 1

Answer: (C)

2

Answer 2

This problem requires a geometrical argument :

Method.1 By similar triangles, = = ,and therefore = $\frac { 6 } { 3 }$ = 2

Method.2 ===$\frac { 6 } { 3 }$= 2

This problem is a nice preview of L'Hospital's Rule