Examine the function `f(x) = (x^2+5)/(3x+1)` in the domain (1,7) and state its type of discontinuity

Question

asked Dec 12, 2020 222k views

1 Answer

Agamand The True · Answer 1 · 2020-12-19T00:59:00+0000

Hello from MrBillDoesMath!

Answer:

The function is continuous on (1,7)

Discussion:

See attached graph. The discontinuity in the function occurs when

3x + 1 =0 =>

x = - (1/3)

but that x value does not lie in the interval (1.7). So there is no discontinuity on (1,7).

FYI: the discontinuity at -1/3 is a non-removable discontinuity

Thank you,

MrB