Question

1. what is (f + g)(x)

2. what is (f • g)(x)

Answer 1

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Answer 2

1.) (f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

2.) (f × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8
(
f
g
)
(
x
)
=
f
(
x
)
g
(
x
)
(
g
f
​
)(x)=
g(x)
f(x)
​

=
3
x
+
2
4
−
5
x
=
4−5x
3x+2
​