- Let \(f(x) = \frac {x-1}{3 + x}\) with its natural domain.
- Let \(G(t) = -2t + 6\) with \((-5, 1)\) as its domain.
- Let \(H(k) = -|2-k|+6\) with its natural domain.
- Let \(T(w) = w^2 - 3\) with \([-2, 3)\) as its domain.
Evaluate the following. (Use DNE for Does not Exist)
\begin{align*} f(-2) + H(1) &= \answer {2} \\ G\left (\frac {1}{2}\right ) - T(-1) &= \answer {7} \\ -H(\pi ) + 8 &= \answer {\pi } \\ 2 T(\sqrt {3}) &= \answer {0} \\ T(-3) + G(0) &= \answer {DNE} \\ G(1) + T(0) &= \answer {DNE} \end{align*}