What's the value of x ? (I marked a random answer )

H(x)= 9/x( x^2-49)<br> Determine the domain of the function

Norma-Jean [14]

Answer: The domain of the function $h(x) = \frac{9}{x(x^2-49)}$ is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

$h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}$

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

$x=0$

$x+7=0$ --> $x=-7$

$x-7=0$ --> $x=7$

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0

2 years ago

7. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two

AlladinOne [14]

Answer:

f(g(x)) =

$\sqrt{8x \: - \: 13} \: + \: 9$

Step-by-step explanation:

f(x) =

$\sqrt{x} \: + \: 9$

g(x) = 8x - 13

f(g(x) =

$\sqrt{8x \: - 13} \: + \: 9$

5 0

2 years ago

Between which two consecutive integers does <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%7D%2012%5C%5C" id="TexFormula1" title="

Annette [7]

The most appropriate choice for square root will be given by-

$\sqrt{12}$ lies between 3 and 4

What is square root of a number?

Number raised to the power $\frac{1}{2}$ is the square root of the number.

Here

$\sqrt{12}\\ 2\sqrt{3}\\ 2*1.732\\3.464\\$

3.464 lies between 3 and 4

$\sqrt{12}$ lies between 3 and 4

To learn more about square root of a number, refer to the link:

brainly.com/question/3617398

#SPJ9

7 0

4 months ago

Describe the general properties of rotations.

Korolek [52]

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

5 0

2 years ago

Maulik bought two horses at Rs 40,000 each. He sold one horse at 15% gain, but he to sell the second horse at a loss. If he had

givi [52]

Answer:

Answer is selling price of second horse is Rs 30400.

Step-by-step explanation:

Maulik bought one horse at Rs 40000 and sold it with a gain of 15%

So the selling price of one horse will be 40000+15% of 40000

= 40000+6000

= Rs 46000

Second horse is costing Rs 40000 and had suffered a loss of Rs 3600 on selling both so selling price of both will be = 40000×2-3600

= 80000-3600

= 76400

Now selling price of second horse will be selling price of both - selling price of first = 76400-46000 = Rs 30400

8 0

2 years ago

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