According to graphical and analytical methods, the value of the input variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)
How to determine the point of interception between two linear functions
Linear 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 horizontal lines have a slope of 0.
There are two forms to estimate the coordinates of the point of intersection of the two functions: (i) graphical, (ii) analytical. According to the first method, the value of the input 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 input variable is approximately 1.5.
According to graphical and analytical methods, the value of the input 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: https://brainly.com/question/27664510
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