Let f and g be twice differentiable functions on R such that \(f"(x)=g"(x)+6x\) \(f'(1)=4g'(1)−3=9\) \(f(2)=3g(2)=12\) T…

There exists \({x}_{0}\in (1,\text{ }3\text{/}2)\)

such that \(f({x}_{0})=g({x}_{0})\)

\(g(−2)−f(−2)=20\)

\(\left|f'(x)−g'(x)\right|<6\Rightarrow −1

If –1 < x < 2, then \(\left|f(x)−g(x)\right|<8\)