Find the domain of the function .

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Find the domain of the function f(x)=x+4x2−5x+6f(x)=\dfrac{x+4}{x^{2}-5x+6}. (a) (−∞,2)∪(2,∞)(-\infty,2)\cup(2,\infty) (b) (−∞,2)∪(3,∞)(-\infty,2)\cup(3,\infty) (c) (−∞,2)∪(2,3)∪(3,∞)(-\infty,2)\cup(2,3)\cup(3,\infty) (d) (−∞,−4)∪(−4,∞)(-\infty,-4)\cup(-4,\infty)

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