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Pointwise Function Definition
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Example
Let
f
(
x
) := 2
x
2
and
g
(
y
) :=
y
+4. Then, for every
x
in
R
,
(sqrt(
f
+
g
))(
x
) = sqrt(2
x
2
+
x
+ 4).
The function
f
(
x
) := 3
x
2
+
x
sqrt(
x
) equals
3*
g
+
h
where
g
(
x
) :=
x
2
and
h
(
x
) =
x
sqrt(
x
).
The function 1
R
2
+sqrt( )/1
R
+1 equals
f
(
x
) :=
x
2
+sqrt(
x
)/
x
+1.
Composition of functions at each argument value.
Author:
Wolfgang Schreiner
Last Modification: December 14, 1999