Composite of odd functions is odd - Revision history

Vipul: /* Related facts */

2011-08-28T13:03:26Z

Related facts

← Older revision		Revision as of 13:03, 28 August 2011
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	==Related facts==		==Related facts==

			===Similar facts===

			* [[Odd functions form a vector space]]
			* [[Inverse function of odd function is odd]]

			===Similar facts for even functions===
	* [[Composite of even function with odd function is even]]		* [[Composite of even function with odd function is even]]
	* [[Composite of any function with even function is even]]		* [[Composite of any function with even function is even]]

Vipul at 12:53, 28 August 2011

2011-08-28T12:53:02Z

← Older revision		Revision as of 12:53, 28 August 2011
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	{{fillin}}		{{fillin}}

			==Related facts==

			* [[Composite of even function with odd function is even]]
			* [[Composite of any function with even function is even]]

Vipul at 12:51, 28 August 2011

2011-08-28T12:51:49Z

← Older revision		Revision as of 12:51, 28 August 2011
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	==Statement==		==Statement==

			===Statement for two functions===

	Suppose <math>f</math> and <math>g</math> are [[fact about::odd function]]s so that the [[fact about::composite of two functions\|composite]] <math>f \circ g</math> makes sense. Then, <math>f \circ g</math> is also an [[odd function]].		Suppose <math>f</math> and <math>g</math> are [[fact about::odd function]]s so that the [[fact about::composite of two functions\|composite]] <math>f \circ g</math> makes sense. Then, <math>f \circ g</math> is also an [[odd function]].

			Note that composition of functions does not commute, so if we can make sense of both <math>f \circ g</math> and <math>g \circ f</math>, these are ''both'' (possibly equal, possibly distinct) odd functions.

			===Statement for more than two functions===

			{{fillin}}

Vipul: Created page with "==Statement== Suppose $f$ and $g$ are fact about::odd functions so that the composite $f \circ g$ ..."

2011-08-28T12:50:37Z

Created page with "==Statement== Suppose <math>f</math> and <math>g</math> are fact about::odd functions so that the composite <math>f \circ g</math>..."

New page

==Statement==

Suppose <math>f</math> and <math>g</math> are [[fact about::odd function]]s so that the [[fact about::composite of two functions|composite]] <math>f \circ g</math> makes sense. Then, <math>f \circ g</math> is also an [[odd function]].

Composite of odd functions is odd - Revision history

Vipul: /* Related facts */

Vipul at 12:53, 28 August 2011

Vipul at 12:51, 28 August 2011

Vipul: Created page with "==Statement== Suppose f and g are fact about::odd functions so that the composite f \circ g..."

Vipul: Created page with "==Statement== Suppose $f$ and $g$ are fact about::odd functions so that the composite $f \circ g$ ..."