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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
+
1
f(x)=x^{2}+1
f
(
x
)
=
x
2
+
1
,
g
(
x
)
=
x
−
2
g(x)=x-2
g
(
x
)
=
x
−
2
, and
h
(
x
)
=
x
+
2
h(x)=x+2
h
(
x
)
=
x
+
2
. Define
F
(
x
)
=
f
(
x
)
g
(
x
)
−
h
(
x
)
g
(
x
)
.
F(x)=\dfrac{f(x)g(x)-h(x)}{g(x)}.
F
(
x
)
=
g
(
x
)
f
(
x
)
g
(
x
)
−
h
(
x
)
.
Simplify
F
(
x
)
F(x)
F
(
x
)
and hence find
F
(
3
)
F(3)
F
(
3
)
. a)
10
10
10
b)
5
5
5
c)
9
9
9
d)
1
1
1
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