Solve the Equation for Exact Solutions $$\cot ^ { - 1 } x + \cot ^ { - 1 } ( 1 + x ) = \frac { \pi } { 4 }$$

Multiple Choice

Solve the equation for exact solutions.
- $$\cot ^ { - 1 } x + \cot ^ { - 1 } ( 1 + x ) = \frac { \pi } { 4 }$$

A) $\left\{ \frac { 1 } { 2 } \right\}$
B) $\{ - 5 + 3 \sqrt { 2 } \}$
C) $\{ 2 \}$
D) $\left\{ - \frac { 3 } { 4 } , \frac { 3 } { 4 } \right\}$