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

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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Fearen
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 $$\displaystyle{x}={2},{7}.$$