We have
To simplify it we can divide numerator and denumerator by the same number (the greatest possible is the best)
- its the simples form..
By analyzing the piecewise function, we conclude that the first graph is the correct one,
<h3>
Which of the following is the graph of the piecewise function?</h3>
The first part of the piecewise function is:
f(x) = √(-x - 2) for x ≤ -2
This parts ends at:
f(-2) = 0
With that, we can discard the last two graphs.
Now, the second part is a rational function with a negative coefficient.
Because of that sign, when x is positive, the function tends to negative infinite near in the asymptote, while when x is negative, the function tends to positive infinite in the asymptote.
Because of that, we conclude that the correct option is the first graph.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
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f(x) = 0.5x - money per ticket
g(x) = 8x - tickets per hour
We replace g(x) with its value (8x).
f(g(x)) = f(8x)
We replace the x in f(x) with 8x.
f(8x) = 0,5 × 8x
f(8x) = 4x
<u>⇒ f(g(x)) = 4x</u>
<u></u>
Correct answer:
a.<em> f(g(x)) = 4x, which represents the money Aurora made in dollars per hour</em>
Answer:
5x^2 -3x +9
Step-by-step explanation:
(5x2 + 7) - (3x - 2)
Distribute the minus sign
5x^2 +7 -3x +2
Combine like terms
5x^2 -3x +9
