According to <em>graphical</em> and <em>analytical</em> methods, the value of the <em>input</em> variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)
<h3>How to determine the point of interception between two linear functions</h3>
<em>Linear</em> functions are polynomials with a grade of 1 and described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- m - Slope
- y - Dependent variable
- b - Intercept
Please notice that <em>horizontal</em> lines have a slope of 0.
There are two forms to estimate the coordinates of the point of intersection of the two functions: (i) <em>graphical</em>, (ii) <em>analytical</em>. According to the first method, the value of the <em>input</em> variable is approximately 1.5.
And according to the second method, we have the functions f(x) = 1 and g(x) = (4/3) · x - 1. Then, we must solve the following formula to determine the input variable of the point of interception:
1 = (4/3) · x - 1
(1/3) · x = 1/2
x = 3/2
x = 1.5
The value of the <em>input</em> variable is approximately 1.5.
According to <em>graphical</em> and <em>analytical</em> methods, the value of the <em>input</em> variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)
To learn more on systems of linear equations: brainly.com/question/27664510
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