Question

Explain why each function is discontinuous at the given point.

Answer 1

f(x) = x/x - 1 at x = 1

Answer 2

@saifoo.khan can u help?

Answer 3

@zepdrix can u help?

Answer 4

@jim_thompson5910 can u helppp??

Answer 5

you CANNOT divide by zero


so the denominator x-1 CANNOT be zero


if it were, then

x-1 = 0

x-1+1 = 0+1

x = 1

So x = 1 makes the denominator x - 1 equal to zero


To avoid dividing by zero, x = 1 is kicked out of the domain. This explains why there is a discontinuity here.