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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
x
2
−
3
x
+
a
f(x)=x^{2}-3x+a
f
(
x
)
=
x
2
−
3
x
+
a
(
a
∈
R
a\in\mathbb R
a
∈
R
) and
g
(
x
)
=
x
g(x)=\sqrt{x}
g
(
x
)
=
x
. For which values of
a
a
a
does the composite function
g
∘
f
g\circ f
g
∘
f
have domain equal to
R
\mathbb R
R
? a)
a
=
9
4
a=\dfrac{9}{4}
a
=
4
9
only b)
a
≥
9
4
a\ge\dfrac{9}{4}
a
≥
4
9
c)
a
≤
9
4
a\le\dfrac{9}{4}
a
≤
4
9
d)
a
≥
0
a\ge 0
a
≥
0
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