All categories

2 years ago

M(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))

Mathematics

1 answer:

AlexFokin [52]2 years ago

5 0

Answer:

x ≠ 5

Step-by-step explanation:

Given

m(x) = 1/x
f(x) = 2x - 10

Composite function

m(f(x)) = 1/ (2x - 10)

The denominator can't be zero

2x - 10 ≠ 0
2x ≠ 10
x ≠ 5

You might be interested in

Which is the next step in the following construction of an equilateral triangle

Ira Lisetskai [31]

Answer: its the next portion of 123

Step-by-step explanation:

because my teacher told me

5 0

2 years ago

(6a+42)+(8a+72)=? . .

umka2103 [35]

Answer:

14a+114

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

To pay you for mowing the lawn, your grandmother puts money in a bag. The bag has one $10 bill and four $1 bills. You get to dra

ExtremeBDS [4]

P(11)=8/20
p(2)=12/20

8 0

2 years ago

Read 2 more answers

Which is the 10th term of the geometric sequence 1/27, 1/9, 1/3, 1,

Leokris [45]

The sequence is being multiplied by three for ever term.
If you multiply 1 by 3, the result will be 3. Keep on multiplying each term by three and you'll find that the 10th term is 729

5 0

3 years ago

Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de

DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{21}{5} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

$s^2 = \dfrac{364.8}{4}} = 91.2$

If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

$Mean =\displaystyle\frac{25.2}{6} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8

$s^2 = \dfrac{364.8}{5}} = 72.96$

Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

5 0

3 years ago