Question

If i had an equation, how would I find the domain and range?
Not sure if this is a good example but:
F(x) = 4/x^2 - 4x - 6
how would I go about finding the domain and range?

Answer 1

start by using the quadratic formula on the denominator

Answer 2

the domain is the set of input values (x-values) that satisfies the function
the range is the set of output values (y-values) from the lowest to the highest

Answer 3

\[x = [-(-4)\pm \sqrt{-4^2-4(1)(-6)} ]\div 2(1)\]

Answer 4

which equals
\[x = (4 \pm \sqrt{40})\div2\]

Answer 5

what next?