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xz_007 [3.2K]
1 year ago
5

Given r(x) = startfraction 11 over (x minus 4) squared endfraction , which represents a domain restriction on r(x) and the corre

sponding inverse function?.
Mathematics
1 answer:
Dmitry_Shevchenko [17]1 year ago
3 0

The domain and inverse of the function

r(x) = \frac{11}{(x - 4)^2} is

Domain = \mathbb{R} - \{4\},

r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

r(x) = \frac{11}{(x - 4)^2}

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = \mathbb{R} - \{4\},

Where \mathbb{R} is the set of all real number

Let r(x) = y

\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}}  +4

<em />r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

To learn more about function, refer to the link:

brainly.com/question/22340031

#SPJ4

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casey has n nickels.meghan has 4 times as many nickels as casey has.write an expression for the total number of nickels casey an
Amanda [17]

Answer:

5n

Step-by-step explanation:

Summarizing what we know:

Casey has n nickels, and Meghan 4 times as many:  4n

Then the total number of nickets these two people have is n + 4n, or 5n.

6 0
3 years ago
As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He r
denpristay [2]

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

<em>Start by going through and testing each option</em>

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

<em>A) 2 is not possible.</em>

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

<em>B) </em>−<em>2 is not possible.</em>

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

<em>C) </em>−4<em> is not possible.</em>

<em>From this, D is looking like the answer. But to be sure, test it.</em>

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

<em>D) 4 is the answer.</em>

5 0
3 years ago
Mii need halp<br> im givin brainliest dis time
Irina18 [472]

Answer:

x = 35 , y = 72.5

Step-by-step explanation:

(a)

x and 35° are vertical angles and are congruent, then

x = 35

(b)

y. y and 35 lie on a straight line and sum to 180°, that is

y + y + 35 = 180

2y + 35 = 180 ( subtract 35 from both sides )

2y = 145 ( divide both sides by 2 )

y = 72.5

7 0
3 years ago
Read 2 more answers
Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? select three options. the domain is {x|x ≤ –2}. the
dsp73

The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.

We have the given,

The graph of the function f(x) = –x^2 – 4x+ 2

The statements that agree with the graph of the equation are as follows:

1. The domain is {x|x ≤ –2}.

<h3>What is the domain?</h3>

The set of points at which function is defined.

4. The function is decreasing over the interval (−4, ∞).

From the given graph,

We can say that the above statements are true.

To learn more about graphical functions visit:

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8 0
2 years ago
Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to
daser333 [38]
A = 1
b = -5
c = -4
x1 = 5.70
x2 = -0.70

<span>Therefore, the negative real number is -0.70.</span>
7 0
3 years ago
Read 2 more answers
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