Find the following f(g(x)) when f(x)=2x+4 and g(x)=2x
2 answers:
Answer:
4 + 4x = <em>f</em>(<em>g</em>(x))
Step-by-step explanation:
According to the compositional function, we plug the <em>g</em>(x) function into the <em>f</em>(x) function in replacement for every <em>x</em><em> </em>we see:
The above answer is written in reverse, which is the exact same result.
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Answer:
If a number is prime, it may or may not be odd.
Step-by-step explanation:
The prime numbers are all natural numbers greater than 1, which are only divisible between themselves and between 1. For example: 2, 3, 5, 7, 11 ...
A Venn diagram is shown in the attached figure
There you can see that not all even numbers are primes for example, 4 is an even number, but it is not a prime number. Then, not all odd numbers are prime numbers, for example 9 is an odd number, but it is not a prime number.
Neither all prime numbers are odd, for example the number 2 is a prime number and it is not odd.
Notice in the attached Venn diagram that the set of prime numbers contains even numbers and also odd numbers.
Therefore, the correct statement is the last option:
If a number is prime, it may or may not be odd.
