Answer:
vertical asymptote at x = 7
horizontal asymptote at y = 6
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.
solve:
x
−
7
=
0
⇒
x
=
7 is the asymptote
Horizontal asymptotes occur as
lim
,f(x)→
c(a constant)
x
→
±
∞
divide terms on numerator/denominator by x
f
(
x
)
=
5/
x
+6=
5
/x
+
6
x/
x
−
7
/x 1
−
7/
x
as
x
±
∞
,
f
(
x
)
→
0
+6
1
−
0
⇒
y
=
6 is the asymptote
graph{((5)/(x-7))+6 [-20, 20, -10, 10]}
Answer: x > 10
<u>Step-by-step explanation:</u>
NOTE: exceed means "greater than"
x < 10 <em>x is less than 10</em>
x ≤ 10 <em>x is less than or equal to 10</em>
x > 10 <em>x is greater than 10</em>
x ≥ 10 <em>x is greater than or equal to 10</em>
we know that
The formula to calculate the slope between two points is equal to
in this problem we have
substitute in the formula
therefore
<u>the answer is the option A</u>
2x + y = 1
3x - y = -6
---------------add
5x = -5
x = -5/5
x = -1
2(-1) + y = 1
-2 + y = 1
y = 1 + 2
y = 3
solution is (-1,3)
