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melamori03 [73]
2 years ago
12

If f(x)= x+2g(x)=x+1find gof(x)​

Mathematics
1 answer:
ohaa [14]2 years ago
6 0

Answer:

gof(x) = 3

Step-by-step explanation:

Given that,

f(x) = x+2 and g(x) = x+1

We need to find gof(x).

gof(x) means g[f(x)].

g[f(x)] = g(x +2)

= x+2+1

= x+3

Hence, the value of gof(x) is 3.

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Step-by-step explanation:

hello,

i advice you check the question again if it is GF(2^{4}) or GF(24). i believe the question should rather be in this form;

multiplication in GF(2^{4}): Compute A(x)B(x) mod P(x) = x^{4} + x+1, where A(x)=x^{2}+1, and B(x)=x^{3} + x+1.

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)=(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1  ) = (x^{5} +x^{3}+x^{2}  ) + (x^{3}+x+1  ) mod (x^{4} + x+1 )

= x^{5}+2x^{3} +x^{2}  + x + 1 mod(x^{4}+x+1  )

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please note that the division by the modulus above we used

\frac{x^{5}+2x^{3}+x^{2} +1  }{x^{4}+x+1}= x+\frac{2x^{3} +1}{x^{4}+x+1}

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