Question

Can someone help me graph the rational function f(x) = quantity x squared plus x minus two divided by quantity x squared minus three x minus four

Answer 1

factor top and bottom first

Answer 2

f (x) = x^2 + x - 2/x^2 - 3x - 4
Is factoring like simplifying?

Answer 3

there is no such mathematical operation as "simplify"
you cannot reduce this fraction, but both the top and bottom factor
for example
\[x^2+x-2=(x+2)(x-1)\]

Answer 4

that will give you the x intercepts
factor the denominator to find the vertical asymptotes

Answer 5

Would the bottom be x^2 - 3x - 4 = (x + 2)(x - 2)?

Answer 6

no because \((x+2)(x-2)=x^2-4\)

Answer 7

I don't understand