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, ∞).
They both run diagonally (compare)...
the <span>y = 5x+9 is moved 6 points to the left
</span>
hope it works
Answer:
The number is 45
Step-by-step explanation:
Let number = x
2/3 x = 30
x = 30/2/3
x = 30×3/2
x = 90/2 = 45
The number is 45
2/3 ×45= 90/3 = 30
