Answer: easyyyyyyyyy
Step-by-step explanation:
Answer:
y=2/x+3
Step-by-step explanation:
Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)
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Explanation:
As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller.
The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units.
( x approaches 2 from the left )
( x approaches 2 from the right )
Let's simplify step-by-step.
16
y
−
46
y
+
15
8
y
−
3
=
16
y
+
−
46
y
+
15
8
y
+
−
3
Combine Like Terms:
=
16
y
+
−
46
y
+
15
8
y
+
−
3
=
(
16
y
+
−
46
y
+
15
8
y
)
+
(
−
3
)
=
−
225
8
y
+
−
3
