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

A ) Discontinuity is at ( - 4 , - 11 ), zero is at( 3/2, 0 ).

Explanation:

Answer 2

f ( x ) = ( 2 x² + 5 x - 12 ) / ( x + 4 )
x + 4 ≠ 0
x ≠ - 4 ( discontinuity at x = - 4)
f ( x ) = 0
2 x² + 5 x - 12 = 0
2 x² + 8 x - 3 x - 12 = 0
2 x ( x + 4 ) - 3 ( x + 4 ) = 0
( x + 4 ) ( 2 x - 3 ) = 0
x = - 4 ( not correct )
2 x - 3 = 0
2 x = 3
x = 3/2
Answer:
A ) Discontinuity at ( - 4 , - 11 ), zero at ( 3/2, 0 ).