SOLUTION: What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4? Discontinuity at (-4, -11), zero at (three halves ,

Algebra ->  Rational-functions -> SOLUTION: What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4? Discontinuity at (-4, -11), zero at (three halves ,       Log On


   

Question 914197: What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4?
Discontinuity at (-4, -11), zero at (three halves , 0)
Discontinuity at (-4, -11), zero at (negative three halves , 0)
Discontinuity at (4, 5), zero at ( three halves , 0)
Discontinuity at (4, 5), zero at (negative three halves , 0)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2%2B5x-12%29%2F%28x%2B4%29

The numerator is factorable:

f%28x%29=%28%282x-3%29%28x%2B4%29%29%2F%28x%2B4%29

The function has a hole at x=-4, has NO asymptote, and has a zero at 3%2F2.