Answer:


Step-by-step explanation:
<u>The domain of a Function</u>
Given a real function f(x), the domain of f is made of all the values x can take, such that f exists. The function given in the question is

Finding the domain of a function is not possible by giving x every possible value and check if f exists in all of them. It's better to find the values where f does NOT exist and exclude those values from the real numbers.
Since f is a rational function, we know the denominator cannot be 0 because the division by 0 is not defined, so we use the denominator to find the values of x to exclude from the domain.
We set

Or equivalently
x=0
The domain of f can be written as

Or also

Answer:
D) 6sqrt(2)
Step-by-step explanation:
D² = 6² + 6²
D = 6sqrt(2)
Answer:
Step-by-step explanation:
The answers are:
A) {[(-15+5)×2+8]-32÷8}-(-7)
Calculate within parentheses: -16 - (-7)
Add and subtract (left to right): -16 - (-7) = -9
B) (5-2)³×2+[-4+(-7)]÷(-2+4)²
To solve this problem, you need to follow the steps of order of operations.
Calculate within parentheses:
* 2 + [-4 + (-7)] ÷ (-2+4)²
Calculate within parentheses:
*2 -11 ÷ (-2+4)²
Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²
Calculate exponents: 27 × 2 -11 ÷ 4
Multiply and divide: 54 - 11 ÷ 4
Multiply and divide: 54 -
Add and Subtract: 
Convert improper fractions to mixed numbers:
= 
C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)
Calculate within parentheses: -4 ÷ (-3)
Multiply and divide:
Simplify and convert improper fraction to a mixed number:
=
= 
Hope this helped! If so, please mark brainliest.
Answer: 528,000
Step-by-step explanation: 492 is less then 500 so...
Answer:
80 degrees
Step-by-step explanation:
Since we know that a straight line is 180 degrees and 100 degrees and x lie on the same line:
100 + x = 180
x = 80
Hope this helps :)