Graphs of the functions f and g are given. a) Which is larger, f(6) or g(6)?

Maaghu 2021-11-21 Answered
Graphs of the functions f and g are given.
a) Which is larger, f(6) or g(6)?
b) Which is larger, f(3) or g(3)?
c) Find the values of x for which \(\displaystyle{f{{\left({x}\right)}}}={g{{\left({x}\right)}}}\).
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Expert Answer

Fearen
Answered 2021-11-22 Author has 1068 answers
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 \(\displaystyle{x}={2},{7}.\)
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