What is the Proof for f=h when fog=x and goh=x in Composition?

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In summary, composition in science refers to the combination or arrangement of different elements or substances to form a new substance or material. It is different from a mixture because it involves a chemical reaction and can be observed in nature through processes like photosynthesis. The composition of a substance directly affects its properties and has many applications in fields such as manufacturing and environmental science.
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Homework Statement



Can't believe I forgot how to do this...

Prove if fog = x and goh = x then f=h for all x.

Homework Equations



Obviously the associativity of composition here.

The Attempt at a Solution



So we know :

fog = goh
fogoh = gohoh
fo(goh) = (goh)oh

I've forgotten how to do the rest here.
 
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Any pointers at all?
 
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[itex]h = (f \circ g) \circ h = \ldots[/itex]
 

Related to What is the Proof for f=h when fog=x and goh=x in Composition?

1. What is composition in science?

Composition in science refers to the combination or arrangement of different elements or substances to form a new substance or material. It is the study of how different components interact and affect the properties and behavior of the resulting compound.

2. How is composition different from a mixture?

Composition is different from a mixture in that it involves a chemical reaction between the components, resulting in a new substance with different properties. A mixture, on the other hand, is a physical combination of substances that can be separated by physical means.

3. Can composition be observed in nature?

Yes, composition can be observed in nature. Many natural processes, such as photosynthesis, involve the combination of different elements to form new compounds. Additionally, the composition of rocks and minerals is a result of various elements and compounds combining over time.

4. How does composition affect the properties of a substance?

The composition of a substance directly affects its properties. The type and ratio of elements present can determine the physical, chemical, and biological characteristics of a substance. For example, the composition of steel determines its strength and durability.

5. What are some common applications of composition in science?

Composition has many applications in science, including in manufacturing, materials science, and environmental science. It is used to create new materials with specific properties, such as polymers and alloys. It is also essential in understanding the composition of pollutants and their effects on the environment.

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