Project ForgeEngineering Mathematics
Calculus
GATE 2016
Easy
The values of x for which the function f(x) = (x² - 3x - 4)/(x² + 3x - 4) is NOT continuous are
- A4 and -1
- B4 and 1
- -4 and 1
- D-4 and -1
Explanation
f is discontinuous where the denominator vanishes: x²+3x-4=(x+4)(x-1)=0 → x=-4, 1.
Source: GATE ME 2016 Set-2 (2016)
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