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: look at the picture
Step-by-step explanation: Hope this help :D
Since there is a flat membership fee of $18, the y intercept is 18. And since there is a $3 fee per number of video games rented, n, the slope or rate of change of the linear equation is 3. The slope-intercept form of a line is:
f(x)=mx+b, where m=slope and b=y-intercept so in terms of n, games rented, the cost, f(n) is:
f(n)=3n+18
<span>y= 2x ^2 - 8x +9
</span>y = a(x - h)2 + k, where (h, k) is the vertex<span> of the parabola
</span>so
y= 2x ^2 - 8x + 9
y= 2x ^2 - 8x + 8 + 1
y = 2(x^2 - 4x - 4) + 1
y = 2(x - 2)^2 + 1 ....<---------<span>vertex form</span>
Answer:
-3ab, -9x^2 -13x
Step-by-step explanation:
45a^4b^3 - 90a^3b/ 15a^2b
-45ab^2/15a^2b
-3ab
13) (x-7x^2) - (2x^2+14x)
-9x^2 -13x