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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
2
x
2
−
8
x
−
2
,
x
≠
2
f(x)=\dfrac{2x^{2}-8}{x-2},\;x\neq 2
f
(
x
)
=
x
−
2
2
x
2
−
8
,
x
=
2
. After simplifying the expression for
f
(
x
)
f(x)
f
(
x
)
, the resulting function belongs to which category? a) Constant function b) Linear function c) Rational function d) Quadratic function
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