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:
x = 
Step-by-step explanation:
Given
- 
x + 
= - 
Multiply through by 60 ( the lcm of 4, 5 and 30) to clear the fractions
- 75x + 24 = - 26 ( subtract 24 from both sides )
- 75x = - 50 ( divide both sides by - 75 )
x = 
=
answer
objects are pulled toward Earth's center? Earth has a magnetic force that is strongest at its core. Earth has a much greater mass than objects on its surface. The weight of the atmosphere pushes objects toward Earth's surface
Answer:
and 
Step-by-step explanation:
The asymptote equation of a translate hyperbola with equation 
is 
The given hyperbola has equation: 
Or 
Comparing to 
We have a=6 and b=8, h=1 and k=2.
We substitute this values to get:
We split the plus or minus sign to get:
Or
