I really don’t get this , it’s graphing linear inequalities
1 answer:
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to . This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
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In order to get the answer to this question you will have to find the common factor and then divide the numerator and denominator by the common factor to get the answer.
Therefore the answer is "2."
Hope this helps.
The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
To find the inverse of a function:
Interchange the f(x) and x
f(x) → x
x → f⁻¹(x)
Make the subject f(x);
Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.
Learn more about the function here:
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