Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
Answer:

Step-by-step explanation:
The given equation is 
Differentiate both sides with respect to x

Take y and 1 to other sides of the equation

Factor out dy/dx from the left hand side of the equation

Divide both sides by (x+1)

Distribute.
5(3x - 5)
5*3x - 5*5
15x - 25
Answer:
Your expected loss per game is of $0.31.
Step-by-step explanation:
In a standard 52-card deck, we have that:
There are 12 face cards.
What is your expected gain or loss (in dollars) per game?
12/52 probability of winning $2.
1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So

Negative, so a loss is expected.
Your expected loss per game is of $0.31.