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Answer:
x = 6 or x = -10
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Solve for x.</em>
<em>1 + |2+x|= 9</em>
<em>O x = 4 or x = -8</em>
<em>O x = 7 or X = -11</em>
<em>O x = 5 or x = -9</em>
<em>x = 6 or X = -10 </em>
<u><em>Solve:</em></u>
<em>1 + |2+x|= 9</em>
<em>Subtract 1 from both sides:</em>
<em>1 + |2 +x| -1 = 9-1 </em>
<em>Simplify</em>
<em>|2 + x | = 8</em>
<em>Applying absolute value rule: If |u| = a, a > 0 then u = a or u = -a</em>
<em>2 + x = -8</em>
<em>2 + x = 8</em>
<u><em>Solving:</em></u>
<em>2 + x = -8</em>
<em>2 - 2 + x = -8 - 2</em>
<em>x = -10</em>
<u><em>Solving:</em></u>
<em>2 + x = 8</em>
<em>2 - 2 + x = 8 - 2</em>
<em>x = 6</em>
<em />
<em>Hence, x = 6 or x = -10</em>
<em />
<u><em>xcookiex12</em></u>
<em>8/26/2022</em>
Answer
Domain of the function:
In interval notation: [6, ∞)
In set notation: {x: x∈R, x≥6}
Explanation
Remember that the the domain of the square root function are all the values such is is bigger than zero. We can express the later in set notation: {x: x∈R, x≥0}, or in interval notation: [0, ∞)
This is because the square root is not defined, in the real numbers, for negative values.
So, to find the domain of our function, we just need to set the thing inside the radical grater or equal than zero and solve for x:
The domain of the function is all the numbers bigger than 6, including 6.
Answer:21
Step-by-step explanation:2x21=42
In a nutshell, functions are relations and relations are formed by two sets: an input set known as domain (X) and an output set known as range (Y).
<h3>
What are the domain and the range of a function?</h3>
Herein we must give definition for a domain and a range of a function. According to function theory, functions are a kind of relations between two sets: an input set known as domain (X) and an output set known as range (Y).
Functions are relations in which an element of the former is related to an element of the latter such that this condition is fulfilled: x → y₁ and x → y₂, where y₁ = y₂.
In a nutshell, Functions are relations and relations are formed by two sets: an input set known as domain (X) and an output set known as range (Y).
To learn more on functions: brainly.com/question/12431044
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Answer:
7/6
Step-by-step explanation:
1/3=2/6
2/6+5/6=7/6