For which real value(s) of is the function defined for every real ?

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

Problem

For which real value(s) of

k

is the function

f(x)=\dfrac{x-1}{x^{2}-(k+3)x+2k}

defined for every real

x

? (a)

k=1

(b)

k>2

(c) No real value of

k

(d) All real

k

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