Question

What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 6x minus 24 ?
@jim_thompson5910

Answer 1

bottom can not be 0, which means that 6 x can not equal 24
means that you x = 4 is your discontinuity

Answer 2

dariobl is correct


set the denominator equal to zero and solve

6x - 24 = 0
6x = 24
x = 24/6
x = 4 makes the denominator zero, so this causes the discontinuity

Answer 3

thanks