The domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0
because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed
the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x
9 is restricted from the domain
domain is all real numbers except 9
so


the domain is all real numbers except for 9
The graph of a proportional relationship passes through origin (0, 0).
Therefore your answer is B).
Answer:
5 2/3
Step-by-step explanation:
2 * 2 5/6
2 * (12+5/6)
2 * (17/6)
34/6
17/3 = 5 2/3
Answer:
Step-by-step explanation:
y = C(x - 1/3)(x - 1/3)(x + 1/4)
y = C(x² - 2/3x + 1/9)(x + 1/4)
y = C(x³ - 2/3x² + 1/4x² + 1/9x - 1/6x + 1/36)
y = C(x³ - 5/12x² - 1/18x + 1/36)
now to account for the y intercept (x = 0)
-3 = C((0)³ - 5/12(0)² - 1/18(0) + 1/36)
-3 = C(1/36)
C = -108
distribute the C term across all variables.
y = -108x³ + 45x² + 6x - 3
we can verify our solution using a plotting calculator.