Find f(11) for f(x) = [x^2-9] / [27-x^3] factoring first may reduce the work a little
[ (x + 3) (x - 3) ] / [ (3 - x ) ( 9 + 3x + x^2 ) ] = factor a negative 1 out of the second factor in the numerator
- [ ( x + 3) (3 - x) ] / [ (3 - x ) ( 9 + 3x + x^2 ) ] = (3 -x) "cancels"
- ( x + 3) / ( x^2 + 3x + 9)
So f(11) =
- (11 + 3) / ( 11^2 + 33 + 9 ) =
- (14) / (121 + 33 + 9 ) =
- (14) / ( 163)