Answer:
Step-by-step explanation:
The given function is [tex]f(x) = \frac{5x^{2}-10x+5}{2x^{2}-5x+3}=5\frac{(x-1)^{2}}{(2x-3)(x-1)}[/tex]
Then we can find the values of
Domain : (-∞, 1)∪(1, 3/2)∪(3/2, ∞)
Holes : (1, 0) [common factor in numerator and denominator is (x-1)]
VA : x = 3/2 [by putting denominator equal to 0]
HA : y = 5/2 [ since highest degree in numerator and denominator are equal.Therefore by division of coefficient of highest degree in numerator by the coefficient of highest degree in denominator]
OA : No OA
Y- intercept : (0, 5/2) [by putting x =0]
