Question

y-intercept s of the following function. Express your answe n simplest form. f(x)=(x^(2)+x-20)/(3x-12)

Answer 1

To find the y-intercept of the function f(x) = (x² + x - 20) / (3x - 12), we assign the value x = 0 because the y-intercept is the value of the function when x is zero.

Thus,
f(0) = ((0)² + 0 - 20) / (3*0 - 12)

This simplifies as follows:
f(0) = -20 / -12

Upon simplifying the right-hand side, we end up with:
f(0) = 1.6666666666666667

This means that the y-intercept of the function is 1.6666666666666667. In other words, the line of the function intersects the y-axis at the point (0, 1.6666666666666667).