Answer:
the Domain is x = -1,4
the range is infinite
x and y : x=-2, x=1 y = 1/2
the horizontal y = 1
the vertical x=-1 x=4
Step-by-step explanation:
X -inter.....When the quotient of expressions equals 0, the numerator has to be 0
x^2+ x-2 / x^2 -3x -4 ===> x^2 +x-2 = 0
Write x as a difference
x^2+2x-2-x-2=0
factor out x from the expression
x(x+2) -x-2=0 ==> x(x+2)-(x+2)=0
factor out x+2 from the expression
(x+2)x(x-1)=0
x+2=0
x-1=0
x=-2
x-1=0
x=-2 x=1
x1 = -2 x2=1
y-inter.... to find y-inter, sub x=0
0^2 + 0-2 / 0^2 -3(0) -4
0-2 / 0^2 -3(0) -4
0-2 / 0-3x0-4
0-2/ 0-0-4
-2/-0-4 ===> -2/-4
reduce the fraction : 1/2
