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3 years ago

what’s the domain using inequalities for this graph?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

-9 ≤ x < 2

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We can see from the graph that our x-values span from -9 to 2. Since -9 is closed dot, we include it in our domain. Since -2 is open dot, it is excluded from our domain:

[-9, 2) or -9 ≤ x < 2

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$\therefore \: 4x = \frac{1}{2} \{(x + 5) + 44 \} \\ \\ \therefore \: 4x = \frac{1}{2} \{x + 5 + 44 \} \\ \\ \therefore \: 4x \times 2= \{x + 49\} \\ \\ \therefore \: 8x = x + 49 \\ \\ \therefore \: 8x - x = 49 \\ \\ \therefore \: 8x - x = 49 \\ \\ \therefore \:7x = 49 \\ \\ \therefore \:x = \frac{49}{7} \\ \\ \therefore \:x = 7\\ \\ \therefore \:4x = 4\times 7.. (\because EF = 4x)\\ \\ \: \: \: \: \: \huge \red{ \boxed{\therefore \:EF = 28}}$

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￼what’s the domain using inequalities for this graph?

what’s the domain using inequalities for this graph?