Answer:
x- intercept = 4 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept let f(x) = 0 , that is
[tex]\frac{x-4}{-x+2}[/tex] = 0
The denominator cannot be zero as this would make f(x) undefined
Equating the numerator to zero
x - 4 = 0 ⇒ x = 4 ← is the x- intercept
To find the y- intercept let x = 0 , that is
f(0) = [tex]\frac{0-4}{-0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2 ← is the y- intercept
