Question

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

Answer 1

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
)
)