Identify the restrictions on the domain of f(x) = x+2/x-3 x≠-2 x≠2 x≠-3 x≠3
1 answer:
Answer:
x ≠ 3
Step-by-step explanation:
The denominator of ...
f(x) = (x+2)/(x -3)
is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.
The restriction is: x ≠ 3.
_____
Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:
the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.
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Answer:
0.1419 ( (if upper and lower cases are interchangeable)
0.348 ( if upper and lower cases are distinct letters)
Step-by-step explanation:
Each digit has 36 possible choices as 26+10
computer generates six characters
there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)
For number of letters-only arrangements = = 308915776
For number of alphanumeric arrangements = = 2176782336
In order to find the probability of letters-only arrangements :
=><u>0.1419</u>
Now, in different scenario if upper and lower cases are not interchangeable.
We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices
Therefore, probability of letters-only arrangements will be
=<u>>0.348</u>