We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0
<h2>
Answer:</h2>
<em>Domain:</em> (−∞,∞) , {x|x∈R}
<h2>
explanation:</h2>
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
<u><em>Interval Notation:</em></u>
(−∞,∞)
<u><em>Set-Builder Notation:</em></u>
{x|x∈R}
i hope this helped. please give brainliest if it did!
Answer: 
Step-by-step explanation:
When we throw a die , Total outcomes =6
When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]
Given : Three fair dice are rolled, one red, one green and one blue.
Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed
By Permutations , the number of favorable outcomes = 
The probability that the upturned faces of the three dice are all of different numbers = 

The probability that the upturned faces of the three dice are all of different numbers is
.