Use the graphs of f(x) = 2/x and g(x) = 1/-3-x to determine the solutions to f(x) = g(x).
A)(-2, -1)
B)(-2, 1)
C)(2, 1)
D)(2, -1)
Simplify the expression.
x^2 + x - 6/x^2 - 4 * x^2 - 9/x^2 + 6x + 9
A)
x - 3/x + 2
B)
x + 3/x - 2
C)
x - 2/x + 3
D)
x + 2/x - 3
It looks as though f(x) = g (x ) at (-2, -1)
[x^2 + x - 6] / [x^2 - 4] * [x^2 - 9] / [x^2 + 6x + 9] factor numerators and denominators
[ (x + 3) (x - 2)] / [ (x + 2) ( x - 2) ] * [ ( x + 3) ( x - 3) ] / [ (x + 3) ( x + 3) ]
Simplifies to
[ ( x + 3) ] / [ ( x + 2) ] * [ ( x - 3) ] / [ ( x + 3) ] =
[ ( x + 3) ] / [ ( x + 3) ] * [ x - 3) ] / [ ( x + 2) ] =
[ ( x - 3) ] / [ ( x + 2) ]