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Lorico [155]
2 years ago
9

Consider functions f and g.

Mathematics
1 answer:
nikklg [1K]2 years ago
7 0

Answer:

C. 1

Step-by-step explanation:

Looking to the Venn's diagram, we can realize that g(1) = 0

If g(1) = 0, you just need to put 0 in place of x in f(x), so we have:

f(0) = 3√0 + 1

f(0) = 3•0 + 1

f(0) = 1

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Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

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Step-by-step explanation:

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