Answer:
21x +30
Step-by-step explanation:
7 (3x + 6)-12
Distribute
21x + 42 -12
Combine like terms
21x +30
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You get vertical asymptotes because the x-value causes you to try to divide by 0.
If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.
You find these by solving 3x(x-1)(x+5)=0.
That's your answer: 0, 1, and -5
Answer:
0 < y <= 6
Step-by-step explanation:
Given:
√(x² - 6x + 9)
if -3 <= x < 3
you can write (x² - 6x + 9)
as (x-3) * (x- 3) which is (x-3)²
so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:
| x - 3 |
So √(x² - 6x + 9) = | x - 3 |
See the graph in the attachment.
for -3 <= x < 3
you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.
This is written as 0 < y <= 6