Answer:Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x). ... Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), ...
Step-by-step explanation:
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Hello!
First off, (-inf, -2) was half of the domain, so you were right on track, but almost there!
Since this function has a vertical asymptote at x = -2, any x-values that are equal to -2 cause the function to be undefined. So, we show that as (-∞, -2) because this function is a continuous function from that interval.
Since this function is also continuous from the interval -2 to ∞, we show that as the second part of our domain; written as (-2, ∞).
Remember that parentheses and brackets have different meanings when using them to state the domain/range of a function. Parentheses are used to <u>not</u> include that value, while brackets are used <u>to</u> include it.
In that case, we need to combine this two intervals using the "union" symbol, which is "U".
Therefore, the domain of the function is (-∞, -2) U (-2, ∞).
Answer:
The answer is -6x - 6. It cannot be simplified more.
Answer:
50 yard South, 40 yard east 60 yard northwest
