Respuesta :
f
+
g
(
x
)
=
f
(
x
)
+
g
(
x
)
→
Add the two functions together
3
x
−
1
+
(
x
+
2
)
3
x
−
1
+
x
+
2
3
x
+
x
−
1
+
2
→
Combine like terms
4
x
+
1
+
g
(
x
)
=
f
(
x
)
+
g
(
x
)
→
Add the two functions together
3
x
−
1
+
(
x
+
2
)
3
x
−
1
+
x
+
2
3
x
+
x
−
1
+
2
→
Combine like terms
4
x
+
1
Answer:
(f-g)(x)=2x-3
Step-by-step explanation:
Subtract the two functions:
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(3x-1)-(x+2)[/tex]
[tex](f-g)(x)=3x-1-x-2[/tex]
[tex](f-g)(x)=2x-3[/tex]