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kompoz [17]
2 years ago
11

Find the domain of the function f(x)=

-16x}" alt="\sqrt{x^3-16x}" align="absmiddle" class="latex-formula"> . What is the least value of x in the domain?
Least Value=
Mathematics
1 answer:
Anon25 [30]2 years ago
3 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x^3-16x}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

x^3-16x\ge 0

as x³ - 16x ≥ 0

\left(x+4\right)\left(x-4\right)\ge \:0

Thus, identifying the intervals:

-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4

Thus,

The domain of the function f(x) is:

x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}

And the Least Value of the domain is -4.

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EleoNora [17]

Answer:

domain is equal to x. therefore, the domain is all of the x values. x = -6,-1,0,3

Step-by-step explanation:

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3 years ago
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If f(x) = x2, and<br> g(x) = x – 1, then<br> f(g(x)) = [? ]x2+[?]+ [?]
Basile [38]

Answer:

f(g(x)) = x² - 2x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f(g(x))

= f(x - 1)

= (x - 1)² ← expand using FOIL

= x² - 2x + 1

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3 years ago
I need help this is hard please help me
Mademuasel [1]

Answer:

P(t)=25000+1.12t

Step-by-step explanation:

Now can you help me?

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

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Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

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2 years ago
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Angle JKL is an equilateral triangle jk=13x+5 KL=17x-19 and JL=8x+35
Goshia [24]

The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

<h3>What is a triangle?</h3>

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

An equilateral triangle is a shape with three sides that have an equal measure of side length.

The 3 sides of triangle JKL are equal to each other, therefore we can equate any of the two sides together to find the unknown variable called x.

So, JK = KL

JK = 13x + 5

KL + 17x - 19

13x + 5 = 17x - 19

Collect like terms;

17x - 13x = 19 + 5

4x = 24

x = 24/4

x = 6

We can now proceed to find the sides;

JK = 13x + 5

13 x 6 + 5

= 78 + 5

= 83

JK = 83

KL = 17x - 19

= 17 x 6 - 19

= 102 - 19

= 83

KL = 83

JL= 8x + 35​

= 8 x 6 + 35

= 48 + 35

= 83

JL = 83

Hence, The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

Learn more about the triangles;

brainly.com/question/2773823

#SPJ1

7 0
1 year ago
Five friends are leaving a bar for home. Aside from the owner of the car, one other person is deemed able to operate the vehicle
erastova [34]

Answer:

4

Step-by-step explanation:

one person is deemed to drive and that person is fixed on the driver's seat no mater which arrangement.

we have now 2 more seats one adjacent to the driver and one rear (two combined).

so the total ways in which all five can be arranged is as follows.

driver, adjacent to him(1)  and three back.

driver adjacent to him (different person) and three back.

see the driver is always fixed so we can ignore him.

thus we when driver set fixed , on two remaining seats (adjacent to driver and the back )there can be 4 different combinations.

3 0
2 years ago
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