X
∈
R
,
x
≠
±
2
y
∈
R
,
y
≠
1
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 values that x cannot be.
solve
x
2
−
4
=
0
⇒
x
2
=
4
⇒
x
=
±
2
←
excluded values
⇒
domain is
x
∈
R
,
x
≠
±
2
To find the value that y cannot be find
lim
x
→
±
∞
f
(
x
)
divide terms on numerator/denominator by the highest power of x, that is
x
2
f
(
x
)
=
x
2
x
2
−
2
x
2
x
2
x
2
−
4
x
2
=
1
−
2
x
2
1
−
4
x
2
as
x
→
±
∞
,
f
(
x
)
→
1
−
0
1
−
0
⇒
y
→
1
←
excluded value
⇒
range is
y
∈
R
,
y
≠
1
The graph of f(x) illustrates this.
graph{(x^2-2)/(x^2-4) [-10, 10, -5, 5]}
Answer:
960
Step-by-step explanation:
In not 100 percent sure, but im preety sure you just multipy 8x12x10 to get 960
For more information: https://www.calculatorsoup.com/calculators/discretemathematics/combinations.php
Answer:
The logarithm of 10,000 with base 10 is 4." 4 is the exponent to which 10 must be raised to produce 10,000. "104 = 10,000" is called the exponential form. "log1010,000 = 4" is called the logarithmic form.
Step-by-step explanation:
Answer:
A) Because A and E are perpendicular therefore making B 90 degrees. D same for DBC
B) Same as A. for A
C) because they are perpendicular to eachother
D) Because they are the same angle they are equal to eachother
E) We assume that they are both 45 degrees thus making them equal to eachother
Step-by-step explanation:
Answer:
an = -6n + 5.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -1 and common difference d = -6
an = a1 + d(n-1)
an = -1 + -6(n - 1)
an = -1 -6n + 6
an = -6n + 5.