Ask question

Ask question

All categories

1 month ago

5

Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain

your reasoning.
f(x) = |x|
g(x) = –x

2 answers:

zzz [12.3K]1 month ago

7 0

Her conclusion is incorrect. She neglected to compute g composed with f. To confirm that two functions are inverses, one must demonstrate that g(f(x)) = x. Since g(f(x)) results in -x, it follows that these functions are not inverses.

zzz [12.3K]1 month ago

6 0

I hope this information is useful to you..;

You might be interested in

The function f(x) = 3x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 4

lawyer [12517]

The maximum allowable length related to x is: The peak packaging expense is: The reasonable domain and range values for this function are as follows:

3 0

1 month ago

A certain temperature measurement is performed 500 times. The mean value is 0 deg F and the standard deviation is 1 deg F. Assum

Svet_ta [12734]

Response:

477

Detailed explanation:

Provided information:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Utilizing the Z probability calculator:

P(x ≤ 2) = 0.97725;

P(x ≤ - 2) = 0.02275

Thus:

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Accordingly, number of readings in 500 trials:

0.9545 multiplied by 500 equals 477.25

≈ 477 values

6 0

12 days ago

Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What

lawyer [12517]

Answer:

2/5

Step-by-step explanation:

By subtracting 130, 35, and 74 from the total of 400, you arrive at 160 left. Next, simplify this fraction by finding the greatest common divisor to get 2/5!

8 0

1 month ago

Read 2 more answers

Will’s Widget Works can produce 2½ tons of widgets in an 8 hour work day.

tester [12383]

Answer:

KKKJBHJNNNN invgin bnmnuim

4 0

19 days ago

Read 2 more answers

Arrange the entries of matrix A in increasing order of their cofactors values

Zina [12379]

To ascertain the cofactor of

$A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]$

First, eliminate the relevant row and column linked to the specified entries and calculate the determinant of the leftover $2\times 2$ matrix while applying alternating signs.

$Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|$

$Ac_{11}=4\times 1- -1\times 2$

$Ac_{11}=4+ 2$

$Ac_{11}=6$

$Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|$

$Ac_{12}=-(-7\times 1- -1\times -8)$

$Ac_{12}=-(-7- 8)$

$Ac_{12}=15$

$Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|$

$Ac_{21}=-(5\times 1- 3\times 2)$

$Ac_{21}=-(5-6)$

$Ac_{21}=1$

$A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|$

$Ac_{23}=-(7\times 2 -8\times 5)$

$Ac_{23}=-(14-40)$

$Ac_{23}=26$

$A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|$

$Ac_{31}=5\times -1 -4\times 3$

$Ac_{31}=-5-12$

$Ac_{31}=-17$

$A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|$

$Ac_{33}=7\times 4- -7\times 5$

$Ac_{33}=28+35$

$Ac_{33}=63$

Therefore, the entries arranged in increasing order of their cofactors values are;

$Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63$

7 0

29 days ago

Read 2 more answers