In the 30-60-90 triangle below, side s has a length of.
1 answer:
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Answer:
Step-by-step explanation:
we have
we know that
substitute the variable x in the function g(x) by the function f(x)
so
Evaluate
For x=0
Answer:
The rational function is
The horizontal asymptote occur at y = 1
Step-by-step explanation:
Given that the function has an x-intercept at (-9, 0), we have;
(x + 9) is a factor of the function
Also, given that the function has a vertical asymptote at x = 3, we have that a factor of the denominator of the function is (x - 3)
With a hole at (1, -5), we have, (x - 1) in both the numerator and the denominator and when x = 1, f(x) = -5
The general form of the function can be presented as follows;
f(x) = ((x + 9)·(x - 1))/((x - 3)(x - 1)) = (x² + 8·x - 9)/(x² - 4·x + 3)
Given that the power of the numerator and the denominator are equal, the horizontal asymptote occur at ratio of the leading coefficient of the numerator and the denominator which from the above equation is 1/1 = 1
The horizontal asymptote occur at y = 1
Please find attached the graph of the function created with Microsoft Excel
