Question

If f(x) = 3x - 1 and g(x) = x + 2, find (f - g) (x)

Answer 1

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

Answer 2

(f-g)(x)=2x-3

Explanation:

Subtract the two functions:

`(f-g)(x)=f(x)-g(x)`

`(f-g)(x)=(3x-1)-(x+2)`

`(f-g)(x)=3x-1-x-2`

`(f-g)(x)=2x-3`