Hello!
To find the domain of the function h(x), we need to find the values of x where it is undefined.
We can begin by factoring the denominator of the rational function, h(x).
h(x) = 1/(3x² - 15x) (factor 3x from the binomial)
h(x) = 1/3x(x - 5)
After factoring the denominator, apply the zero product property.
3x = 0 (divide both sides by 3)
x = 0
x - 5 = 0 (add 5 to both sides)
x = 5
The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.
So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).
6x-8=13 start off with adding 8 to 13 then 6x=21 then divide 6 to both sides getting x=3.5
Solve. -6 = 14 - z/3Subtract 14 from both sides
-20 = -z/3
Multiply -3 by both sides to get rid of the negative and 3 with the z.
z= 60
Answer: its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. Less than
2. Greater than
3. Equal to
4. Greater than
5. Equal to
6. Less than