Why Does Calculus Make f(x) Discontinuous?

[ashleyk]

Given the function f(x) by f(x) = (2x-2)/((x^2)+x-2)

A) For what values of 'x' is f(x) discontinuous?
B) At each point of discontinuity found in part A, determine whether f(x) has a limit and, if so, give the value of the limit.
C) A rational function g(x)= a/(b+x) is such that g(x)=f(x) wherever f(x) is defined. Find the values of 'a' and 'b'.

I think I figured out both part A and B, but part C is killing me. Any help would be great.

 

[christinono]

Given the function f(x) by f(x) = (2x-2)/((x^2)+x-2)

A) For what values of 'x' is f(x) discontinuous?
B) At each point of discontinuity found in part A, determine whether f(x) has a limit and, if so, give the value of the limit.
C) A rational function g(x)= a/(b+x) is such that g(x)=f(x) wherever f(x) is defined. Find the values of 'a' and 'b'.

I think I figured out both part A and B, but part C is killing me. Any help would be great.

A function is discontinuous when the y value for a certain x value does not exist. In this case, it would be when the denominator equals zero. That should be pretty simple to figure out.

 

[JasonRox]

You must have skipped class not to get a).

Simon, from American Idol:

Like seriously, you skipped class and that shirt looks dirty awful.

 

[Curious3141]

For part C) have you tried factorising both numerator and denominator ? It should become fairly obvious then.