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If f(x) = x + 3 and g(x) = VX-1,
what is (fºg)(26)?
Enter the correct answer.



Sagot :

The answer is
=
4
x
2

20
x
+
26
Explanation:
This is a composition of functions
f
(
x
)
=
2
x

5
g
(
x
)
=
x
2
+
1
g
(
f
(
x
)
)
=
g
(
2
x

5
)
=
(
2
x

5
)
2
+
1
=
4
x
2

20
x
+
25
+
1
=
4
x
2

20
x
+
26
f
(
g
(
x
)
)
=
f
(
x
2
+
1
)
=
2
(
x
2
+
1
)

5
=
2
x
2
+
2

5
=
2
x
2

3
g
(
f
(
x
)
)

f
(
g
(
x
)
)
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