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Algebra Examples
Step-by-Step Examples
Algebra
Functions
Find the Difference of the Two Functions
f
(
x
)
=
4
x
f
(
x
)
=
4
x
,
g
(
x
)
=
6
x
+
2
g
(
x
)
=
6
x
+
2
Step 1
Replace the
function
designators with the actual
functions
in
f
(
x
)
−
g
x
f
(
x
)
-
g
x
.
4
x
−
(
6
x
+
2
)
4
x
-
(
6
x
+
2
)
Step 2
Simplify each
term
.
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Step 2.1
Apply the
distributive property
.
4
x
−
(
6
x
)
−
1
⋅
2
4
x
-
(
6
x
)
-
1
⋅
2
Step 2.2
Multiply
6
6
by
−
1
-
1
.
4
x
−
6
x
−
1
⋅
2
4
x
-
6
x
-
1
⋅
2
Step 2.3
Multiply
−
1
-
1
by
2
2
.
4
x
−
6
x
−
2
4
x
-
6
x
-
2
4
x
−
6
x
−
2
4
x
-
6
x
-
2
Step 3
Subtract
6
x
6
x
from
4
x
4
x
.
−
2
x
−
2
-
2
x
-
2
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