SOLUTION: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither. f(x) = (5x-15)(x-6) / x^2+18x-19 a. symm

Algebra ->  Functions -> SOLUTION: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither. f(x) = (5x-15)(x-6) / x^2+18x-19 a. symm      Log On


   

Question 1061028: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) = (5x-15)(x-6) / x^2+18x-19
a. symmetry with respect to the y-axis
b. symmetry with respect to the origin
c. neither

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28-x%29=%28%285%28-x%29-15%29%28-x-6%29%29%2F%28%28-x%29%5E2%2B18%28-x%29-19%29
f%28-x%29=%28%28-5x-15%29%28-x-6%29%29%2F%28x%5E2-18x-19%29
f%28-x%29=%28%285x%2B15%29%28x%2B6%29%29%2F%28x%5E2-18x-19%29
So,
f%28-x%29%3C%3Ef%28x%29 and
f%28-x%29%3C%3E-f%28x%29
Neither.