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Mathematics
Mathematics
Problem
Let
f
:
D
→
R
f: D \to R
f
:
D
→
R
be defined as :
f
(
x
)
=
x
2
+
2
x
+
a
x
2
+
4
x
+
3
a
f(x) = \frac{x^2 + 2x + a}{x^2 + 4x + 3a}
f
(
x
)
=
x
2
+
4
x
+
3
a
x
2
+
2
x
+
a
where
D
D
D
and
R
R
R
denote the domain of
f
f
f
and the set of all real numbers respectively. If
f
f
f
is surjective mapping, then the complete range of
a
a
a
is :
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