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3 years ago

What is 2x+3=-7 for property of equality

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

Answer:

-5

Step-by-step explanation:

2x+3=-7

2x=-7-3

2x=-10

x=-10/2

x=-5

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Given f of x is equal to 1 over the quantity x minus 3 end quantity and g of x is equal to the square root of the quantity x plu

Lostsunrise [7]

The domain of the composite function is given as follows:

[–3, 6) ∪ (6, ∞)

<h3>What is the composite function of f(x) and g(x)?</h3>

The composite function of f(x) and g(x) is given as follows:

$(f \circ g)(x) = f(g(x))$

In this problem, the functions are:

$f(x) = \frac{1}{x - 3}$ .

$g(x) = \sqrt{x + 3}$

The composite function is of the given functions f(x) and g(x) is:

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

The square root has to be non-negative, hence the restriction relative to the square root is found as follows:

$x + 3 \geq 0$

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The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:

$\sqrt{x + 3} - 3 \neq 0$

$\sqrt{x + 3} \neq 3$

$(\sqrt{x + 3})^2 \neq 3^2$

$x + 3 \neq 9$

$x \neq 6$

Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:

[–3, 6) ∪ (6, ∞)

More can be learned about composite functions at brainly.com/question/13502804

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