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Mathematics
Mathematics
Problem
For
x
≥
0
x\ge 0
x
≥
0
, let
g
(
x
)
=
x
g(x)=\sqrt{x}
g
(
x
)
=
x
and let
f
(
x
)
=
2
x
+
3
f(x)=2x+3
f
(
x
)
=
2
x
+
3
. The inverse of the composite function
(
f
∘
g
)
(f\circ g)
(
f
∘
g
)
is a)
(
x
−
3
)
2
2
\dfrac{(x-3)^2}{2}
2
(
x
−
3
)
2
b)
(
x
−
3
2
)
2
\left(\dfrac{x-3}{2}\right)^2
(
2
x
−
3
)
2
c)
2
x
+
3
\sqrt{2x+3}
2
x
+
3
d)
(
x
+
3
2
)
2
\left(\dfrac{x+3}{2}\right)^2
(
2
x
+
3
)
2
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