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!
<em>《</em><em>°</em><em>♡</em><em> </em><em>i think that the answer to this question is -5 1/3</em><em> </em><em>(</em><em>-16</em><em>/</em><em>3</em><em>)</em><em> </em><em>hope this helps!</em><em> </em><em>♡</em><em>°</em><em>》</em>
y/x-2=3/11 would be easier to work with if we were to put it into a more standard form, e. g., y = mx + b.
First, add 2 to both sides, to isolate y/x:
y/x = 3/11 + 22/11 = 25/11.
Next, mult. both sides by x, to get y by itself: y = (25/11)x.
This is your function.
Now make a table. You can choose any x values you want, and then calculate y for each one.
x y
0 0
1 25/11
3 (25/11)*3 = 75/11
Then we have three points on this line: (0,0), (1, 25/11), 3, 75/11). You could obtain more by choosing additional x values.
