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Mathematics
Problem
For the functions
f
(
x
)
=
3
x
2
−
4
f(x)=3x^{2}-4
f
(
x
)
=
3
x
2
−
4
and
g
(
x
)
=
5
−
x
g(x)=\sqrt{5-x}
g
(
x
)
=
5
−
x
, answer the following. a. (i) Find the function
s
(
x
)
=
f
(
x
)
+
g
(
x
)
s(x)=f(x)+g(x)
s
(
x
)
=
f
(
x
)
+
g
(
x
)
and state its domain. b. (ii) Find the function
q
(
x
)
=
f
(
x
)
g
(
x
)
q(x)=\dfrac{f(x)}{g(x)}
q
(
x
)
=
g
(
x
)
f
(
x
)
and state its domain.
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