Given two functions,
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
and
g
(
)
\displaystyle {g{{()}}}
g
(
)
which of the following is False concerning
f
(
g
(
x
)
)
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}
f
(
g
(
x
)
)
.
The output of one function is used as the input for another function
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
is used as the input into
g
(
x
)
\displaystyle {g{{\left({x}\right)}}}
g
(
x
)
f
(
g
(
x
)
)
\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}
f
(
g
(
x
)
)
is equivalent to
(
f
o
g
)
(
x
)
\displaystyle {\left({f}\ {o}\ {g}\right)}{\left({x}\right)}
(
f
o
g
)
(
x
)
g
(
x
)
\displaystyle {g{{\left({x}\right)}}}
g
(
x
)
is used as the input into
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
The process is called function composition.
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