Option A: All real numbers is the right answer
Step-by-step explanation:
First of all, let us define domain
Domain is the set of all inputs to a function on which the function is defined
So
Given function is:

The given function will not be undefined for any value of x as there is no denominator which will make the function approach infinity
Hence,
Option A: All real numbers is the right answer
Keywords: Domain, functions
Learn more about functions at:
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Answer:
1. D y = 8
2. C y = −8
Step-by-step explanation:
1.Both points have y-coordinate 8, so the line is horizontal.
A horizontal line has equation y = k
where k is the y-coordinate of all of its points.
The y-coordinate of all points on this line is 8.
Answer: y = 8
2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.
A horizontal line has equation
y = k
where k is the y-coordinate of all of its points.
The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.
Answer: y = -8
Answer:
<h2>
y = -6x - 16</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -6
(-3, 2) ⇒ x₀ = -3, y₀ = 2
The point-slope form of the equation:
y - 2 = -6(x + 3)
So:
y - 2 = -6x - 18 {add 2 to both sides}
y = -6x - 16 ← the slope-intercept form of the equation
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for <em>y</em>
- Distribute: -4y - 2 + 3y + 6 = -1
- Combine like terms: -y + 4 = -1
- Subtract 4 on both sides: -y = -5
- Divide both sides by -1: y = 5
Step 3: Check
<em>Plug in y to verify it's a solution.</em>
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
2 because it is the number being added to the zero intercept in the equation