Find all discontinuities of f(x). Then for each discontinuity that is removable, define a new function that removes the discontinuity. f(x)=(4x)/(x^2+x-2) f(x)=(3x)/(x^2-2x-4) f(x)={2x if x

Question

Find all discontinuities of f(x). Then for each discontinuity that is removable, define a new function that removes the discontinuity.

f(x)=(4x)/(x^2+x-2)

f(x)=(3x)/(x^2-2x-4)

f(x)={2x if x<0 
        {sinx if 0<x<=pi 
        {x-pi if x>pi

anonymous · Answer

bump the question.

anonymous · Answer

The discontinuities will be when the denominator is 0.
They're removable if after factoring each polynomial, the root cancels out.

anonymous · Answer

I'm not sure I understand the directions. "For each removable discontinuity, define a new function that removes the discontinuity?"

anonymous · Answer

Maybe it means something like "rewrite the function so that it's not a removable discontinuity," in which case I'm not sure if they mean "so that it's not removable" or "so that it's not a discontinuity"...

anonymous · Answer

thanks wio

anonymous · Answer

but how do i rewrite it

anonymous · Answer

how do i rewrite it where it removes the discontinuity