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do you understand why (f o g)(5) = 4 ?<br />
do you understand why (g o f)(5) = 5 ?
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do you understand why (f o g)(5) = 4 ?
do you understand why (g o f)(5) = 5 ?

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What does the <b>g o f</b> and <b>f o g</b> notation mean?
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What does the g o f and f o g notation mean?

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... there is an assumption here that [x] refers to the integer part of x<br />
<br />
eg [2.5] = 2
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... there is an assumption here that [x] refers to the integer part of x

eg [2.5] = 2

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Can any one please explain that ? Thanks<br />
<br />
Define function f, g: N -----&gt; N by<br />
&nbsp; &nbsp; f(x) = 2x<br />
&nbsp; &nbsp; g(x) = [x/2]<br />
<br />
Is f o g the same as g o f? Explain<br />
<br />
Answer: No. For example, (f o g)(5) = 4, but (g o f)(5) = 5.<br />

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Can any one please explain that ? Thanks

Define function f, g: N -----> N by
    f(x) = 2x
    g(x) = [x/2]

Is f o g the same as g o f? Explain

Answer: No. For example, (f o g)(5) = 4, but (g o f)(5) = 5.


Needs help in function

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Math / Science

An algorithm is a self-contained step-by-step set of operations to be performed. Algorithms exist that perform calculation, data processing, and automated reasoning. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.