Answer:
Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x g(x) = x+3
Given f(x) and g(x), please find (fog)(X) and (gof)(x)
f(x) = 2x g(x) = x+3
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Quick Answer
(fog)(x) = 2x + 6
(gof)(x) = 2x + 3
Expert Answers
HALA718 eNotes educator| CERTIFIED EDUCATOR
f(x) = 2x
g(x) = x + 3
First let us find (fog)(x)
(fog)(x) = f(g(x)
= f(x+3)
= 2(x+3)
= 2x + 6
==> (fog)(x) = 2x + 6
Now let us find (gof)(x):
(gof)(x) = g(f(x)
= g(2x)
= 2x + 3
==> (gof)(x) = 2x + 3
Step-by-step explanation:
Answer:
$26532.98
Step-by-step explanation:
<u>Given:</u>
- Principal = $10000
- Profit rate = 5% PA compounded
- Time = 20 years
- Compounds = 20*1 = 20
<u>Sum is:</u>
- 10000*(1 + 5/100)²⁰ ≈ 26532.98
Hey! I'll provide you the answers!
First you want to simplify the equation using cross-multiplication.

Finally, you would want to divide both sides by 15.
n = 161
In Cartesian coordinates, the region (call it
) is the set

In the plane
, we have

which is a circle with radius
. Then we can better describe the solid by

so that the volume is

While doable, it's easier to compute the volume in cylindrical coordinates.

Then we can describe
in cylindrical coordinates by

so that the volume is

Answer:
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5
Step-by-step explanation:
John has pairs of red, orange, yellow, blue and green socks.
Which means that John has 5 different colors pairs of socks.
We are asked to find out in how many ways can he wear them over 5 days.
1st Day:
On the first day John has 5 ways to choose from.
2nd Day:
On the second day John has 5×5 ways to choose from.
(Since repetition is allowed)
3rd Day:
On the third day John has 5×5×5 ways to choose from.
4th Day:
On the fourth day John has 5×5×5×5 ways to choose from.
5th Day:
On the fifth day John has 5×5×5×5×5 ways to choose from.
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5