Posted by Jamie on Tuesday, February 8, 2011 at 9:57am.
1. f(x) as defined is continuous on (-∞,+∞). The only check you need to do to be sure is at x=1.
f(1-)=1
f(1+)=2*1-1=1
So f(x) is continuous also at x=1.
2.
For discontinuity of a rational function, look for values of x which render the denominator zero.
You can do this by factorization.
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