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Let f(x) and g(x) be two odd functions defined for all real values of x. Given that s(x)=f(x)+g(x), prove that s(x) is also an odd function.

We recall that a function f(x) is said to be an odd function when f(-x)=-f(x) . We are told that f(x) and g(x) are odd functions, so we know from the above definition that: 1. f(-x)=-f(x) 2. g(-x)=-g(x) Solu...
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Answered by Keir H. • Maths tutor
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Explain what happens to magnesium and oxygen atoms when they react to form Magnesium oxide.

When this reaction occurs, strong ionic bonds form between two oppositely charged particles (ions). Magnesium is a group II metal, and therefore has two electrons in it's highest energy level (or outermost e...
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Answered by Mathew C. • Chemistry tutor
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What is diffusion and why is it important in both animals and plants?

Diffusion is a passive process involving the movement of molecules from a region of a higher concentration to one of a lower concentration (the term passive means that the process does not require an input o...
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Answered by Mathew C. • Biology tutor
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What is an (electrostatically) induced charge?

When an electrically charged object (e.g rod) charges an uncharged object (e.g. metal sphere) that is nearby with the opposite charge. How does this happen? The charged rod causes the charges on the sphere t...
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Answered by Herminia T. • Physics tutor
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How to analyse a source?

Analysing a source at first often feels like a daunting task, especially because it is unseen material, but it needn’t be! If you simply focus on what the question if asking you to do and structure it in an ...
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Answered by Matthew L. • History tutor
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