Consider the graphs of $\displaystyle {y}={f{{\left({x}\right)}}}$ and $\displaystyle {y}={g{{\left({x}\right)}}}$ in the given diagram

Evaluate $\displaystyle {\left({f}+{g}\right)}{\left({2}\right)}$ Preview Question 6 Part 1 of 3  
Determine all $\displaystyle {x}$ for which $\displaystyle {g{{\left({x}\right)}}}\lt{f{{\left({x}\right)}}}$
Determine all $\displaystyle {x}$ for which $\displaystyle {f{{\left({x}\right)}}}+{3}={g{{\left({x}\right)}}}$