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:
6.7
Step-by-step explanation:
60$-37.45=22.55
22.55/3.35=6.731
Which rounds to 6.7
<span>Simplifying
x2 + 8x + y2 + -2y = 64
Reorder the terms:
8x + x2 + -2y + y2 = 64
Solving
8x + x2 + -2y + y2 = 64
Solving for variable 'x'.
Reorder the terms:
-64 + 8x + x2 + -2y + y2 = 64 + -64
Combine like terms: 64 + -64 = 0
-64 + 8x + x2 + -2y + y2 = 0
The solution to this equation could not be determined.</span>
.01 + .01 = .02
.01 - .01 = .00
