3 years ago

5 (5) - -2 = ( worth 10 points)

Mathematics

2 answers:

scZoUnD [109]3 years ago

8 0

I think the answer is 27

Irina-Kira [14]3 years ago

7 0

Answer:

I think 27 is the answer

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GaryK [48]

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

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

$g(x)=\sqrt{x+5}$

Composite function:

$\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}$

Domain: input values (x-values)

For $(f\:o\:g)(x)$ to be defined:

$x+5\geq 0 \implies x\geq -5$

$\sqrt{x+5}\neq 3 \implies x\neq 4$

Therefore, $-5\leq x < 4$ and $x > 4$

⇒ [-5, 4) ∪ (4, ∞)

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2 years ago

Find X Options: 6 4 square root 6 6 square root 146

elena-14-01-66 [18.8K]

For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

$x = \sqrt {11 ^ 2-5 ^ 2}\\x = \sqrt {121-25}\\x = \sqrt {96}\\\x = \sqrt {4 ^ 2 * 6}$

By definition of power properties we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$x = 4 \sqrt {6}$

Answer:

$x = 4 \sqrt {6}$

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