Question

`F(x) = (5x^(2)-10x+5 )/(2x^(2)-5x+3 )`

What is the
Domain:
Holes:
VA:
HA:
OA: Roots:
Y-Intercepts:

Answer 1

Explanation:

The given function is
`f(x) = (5x^(2)-10x+5)/(2x^(2)-5x+3)=5((x-1)^(2))/((2x-3)(x-1))`

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]