Question
What is the simplified form of each rational expression ? What is the domain ?
Hint:
The expansions of certain identities are:
We are asked to simplify the expression and find its domain.
The correct answer is: Thus, the domain is, (-∞,- 4) ∪ (- 4,∞).
Step 1 of 2:
Simplify the expression and cancel out the common factors:
Thus, the simplified expression is 
.
Step 2 of 2:
Domain of a rational expression should exclude the values of which the denominator gets a zero value.
Hence, we have:
Thus, the domain is, 
.
We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.
Related Questions to study
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
Write the equation in slope-intercept form of the line that passes through the points (4, 0) and (0, 2).
The slope intercept form is one way to express the line equation y = mx + b. The slope of the line is denoted by m, while the y-intercept is by b. When you want to find a point on a line or solve for y, if you know the value of x, you use the slope-intercept form.
Y = mx+b
y = coordinate y
m = slope
x = coordinate x
b = y-intercept
Given two points on a line, we can write an equation for that line by first determining the slope between those points and then solving for the y-intercept in the slope-intercept equation y = mx + b.
Find the simplified Quotient , and state the domain.
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What is the simplified form of each rational expression ? What is the domain ?
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Sketch the graph of y = 3x - 6
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Write an equivalent expression , state the domain:
Write an equivalent expression , state the domain:
Sketch the graph of, 
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Sketch the graph of, .
Sketch the graph of, 
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Sketch the graph of, .
Find the simplified form of each product , and give the domain.
Find the simplified form of each product , and give the domain.
Write an equivalent expression , state the domain .
Write an equivalent expression , state the domain .
Write the equation in slope-intercept form of the line that passes through the points (-1, -5) and (4, -2).
Let us assume the slope of the line to determine at a given point is also the y-intercept. You can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is represented by the symbol 'b' in the formula. The slope of the line results when any two points on a line are entered into the slope formula. In this instance, 1/3 should be the response when 'P1' and 'P2' are put into the slope calculation. You can use two different versions of a line's general form to find a line's equation.
¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
Write the equation in slope-intercept form of the line that passes through the points (-1, -5) and (4, -2).
Let us assume the slope of the line to determine at a given point is also the y-intercept. You can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is represented by the symbol 'b' in the formula. The slope of the line results when any two points on a line are entered into the slope formula. In this instance, 1/3 should be the response when 'P1' and 'P2' are put into the slope calculation. You can use two different versions of a line's general form to find a line's equation.
¶The formula for equations of a line is:
1) The formula for Point-Slope is (y - y1) = m (x – x1)
2) The equation y = mx + b for the slope-intercept
