The y-intercept of the function (g/f)(x) is [tex]\mathbf{-\dfrac{3}{2} }[/tex]
What is the y-intercept of a given function?
The y-intercept of a given function f(x) is those values of y when x is equal to zero.
From the information given:
- f(x) = x² - 6x + 8
- g(x) = x² - x - 12
The division of the function (g/f)(x) can be computed as:
[tex]\mathbf{y= \dfrac{x^{12}-x -12}{x^2-6x+8}}[/tex]
- The y-intercept of g(x) = x² - x - 12 is: (0, -12)
- The y-intercept of f(x) = x² - 6x + 8 is: (0, 8)
The division of the y-intercept is:
[tex]\mathbf{=-\dfrac{12}{8} }[/tex]
[tex]\mathbf{=-\dfrac{3}{2} }[/tex]
Learn more about determining the y-intercept of a given function here:
https://brainly.com/question/25722412
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