a) \(\displaystyle{f{{\left({6}\right)}}}={3.5}\) and \(\displaystyle{g{{\left({6}\right)}}}={5.5}\)

Clearly g(6) is larger.

b) \(\displaystyle{f{{\left({3}\right)}}}={6}\) and \(\displaystyle{g{{\left({3}\right)}}}={3}\)

Clearly f(3) is larger.

c) From the graph we can see that the two curves meets at \(\displaystyle{x}={2}\) and \(\displaystyle{x}={7}\)

Hence, \(\displaystyle{f{{\left({x}\right)}}}={g{{\left({x}\right)}}}\) when \(\displaystyle{x}={2},{7}.\)

Clearly g(6) is larger.

b) \(\displaystyle{f{{\left({3}\right)}}}={6}\) and \(\displaystyle{g{{\left({3}\right)}}}={3}\)

Clearly f(3) is larger.

c) From the graph we can see that the two curves meets at \(\displaystyle{x}={2}\) and \(\displaystyle{x}={7}\)

Hence, \(\displaystyle{f{{\left({x}\right)}}}={g{{\left({x}\right)}}}\) when \(\displaystyle{x}={2},{7}.\)