Question

Need done ASAP

If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work

Answer 1

Solution SOLUTION
(
f
+
g
)
(
x
)
=
(
2
x
+
7
)
+
(
5
x
−
2
)
=
7
x
+
5
(f+g)(x)=(2x+7)+(5x−2)=7x+5
(
f
−
g
)
(
x
)
=
(
2
x
+
7
)
−
(
5
x
−
2
)
=
9
−
3
x
(f−g)(x)=(2x+7)−(5x−2)=9−3x
(
f
⋅
g
)
(
x
)
=
(
2
x
+
7
)
⋅
(
5
x
−
2
)
=
(
2
x
+
7
)
(
5
x
−
2
)
(f⋅g)(x)=(2x+7)⋅(5x−2)=(2x+7)(5x−2)
(
f
g
)
(
x
)
=
(
2
x
+
7
)
(
5
x
−
2
)
=
2
x
+
7
5
x
−
2
(
g
f
​
)(x)=
(5x−2)
(2x+7)
​
=
5x−2
2x+
Answer

5
(f+g)(x)=7x+5
(
f
−
g
)
(
x
)
=
9
−
3
x
(f−g)(x)=9−3x
(
f
⋅
g
)
(
x
)
=
(
2
x
+
7
)
(
5
x
−
2
)
(f⋅g)(x)=(2x+7)(5x−2)
(
f
g
)
(
x
)
=
2
x
+
7
5
x
−
2
(
g
f
​
)(x)=