144,637 views
9 votes
9 votes
Evaluate the given function. f(x) = 3x2+2; find f)x+1)-[f(x)+1]

User Roscoe
by
2.8k points

1 Answer

22 votes
22 votes
Step-by-step explanation:
To evaluate
f
(
x
+
1
)
substitute
(
x
+
1
)
for each occurrence of
x
in
f
(
x
)
and calculate the result:
f
(
x
)
=
3

1
2
x
becomes:
f
(
x
+
1
)
=
3

1
2
(
x
+
1
)

f
(
x
+
1
)
=
3

1
2
x

(
1
2

1
)

f
(
x
+
1
)
=
3

1
2
x

1
2

f
(
x
+
1
)
=
3

1
2

1
2
x

f
(
x
+
1
)
=
(
2
2

3
)

1
2

1
2
x

f
(
x
+
1
)
=
6
2

1
2

1
2
x

f
(
x
+
1
)
=
6

1
2

1
2
x

f
(
x
+
1
)
=
5
2

1
2
x

Or
f
(
x
+
1
)
=
5

x
2
User Atreju
by
2.2k points