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3 years ago

Helpppppp please ( math )

Mathematics

1 answer:

Sati [7]3 years ago

3 0

Hey!

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A open circle means that x is < or >.

A closed circle means that x is ≤ and ≥.

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Answer: A) x > -8 or x ≥ 5

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Explanation: Their are two dots on the number line. One being a closed dot and the other being an open dot. The open dot symbolizes that x needs to be greater than -8. The closed dot symbolizes that x needs to be less than or equal to 5.

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Hope This Helped! Good Luck!

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3 years ago

the surface area of earth is about 196.9 million square miles. The land area is about 57.5 million square miles, and the rest is

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3 years ago

HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$

Using $(i)$ and $(ii)$ it can be concluded that the domain of $f\left(g(x)\right)$ is all real numbers except 0.

Therefore, its domain is given by

$x\in [-5,4)\cup (4,\infty)$

Option (c) is correct.

5 0

3 years ago

Helpppppp please ( math )​

Helpppppp please ( math )