Question

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 1

first we need to factor polynomials that fraction.

we get:

`f(x) = ((x+4)(2x-3))/((x+4))`

denominator must not be equal to 0 which means our restriction is
x + 4 = 0
x = -4

we can cancel x+4 factors and calculate f(-4)
f(-4) = -11

that means that (-4,-11) is discontinuity

zero we will get when we make f(x) = 0
2x-3 = 0
x = 3/2

Answer is A.