Given f (x) = 3x + 2 and g(x) = 4 – 5x, find(f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(gf)(x)=g(x)f(x)
= \small{\dfrac{3x+2}{4-5x}}=4−5x3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8x
Andreas fährt gern am Samstag ins Route 66.
So it’s in this order: Wer, Verb, Wie, Wann, Wohin.
But you have to match up Wie + Wohin so that they make sense. And if the Wer is more than one person, the Verb has to match.
Answer:
Hanne kauft ein Buch
Herr und Frau Heinemann kaufen eine Gitarre
Explanation:
because:
ich(I) kaufe
du (you) kaufst
er/ sie/es(he/she/it) kauft
wir(we) kaufen
ihr(you) kauft
sie(they) kaufen
Hanne is <em>he/she/it </em>
and
Herr und Frau Heinemann are sie(they)
Answer:
das
Tell me if I'm wrong. :) Hope it helps!
Explanation:
