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adelina 88 [10]
3 years ago
6

What is the correct inverse function for f(x)=In5x?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
y = \ln (5x)\\
e^y=5x\\
x=\dfrac{e^y}{5}\\
\boxed{f^{-1}(x)=\dfrac{e^x}{5}}



Mashutka [201]3 years ago
8 0
f(x)=\ln5x\\\\\ln5x=y\\\\e^{\ln5x}=e^y\iff5x=e^y\ \ \ |divide\ both\ sides\ by\ 5\\\\x=\dfrac{e^y}{5}\\\\\boxed{f^{-1}(x)=\dfrac{e^x}{5}}
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How do I solve this?
Vladimir79 [104]

Step-by-step explanation:

Substitute the value x for any number, for example x=1, you substitute x for the value 1, so this is the final equation: y= -3(1)+5 and the answer you get is the value of y. Continue substituting x for any value in the graph of course and then write the answer for y which is the number you get by solving the equation. Then plot the graph with the points you got. Hope this helps, let me know if you need more help :)

8 0
3 years ago
Help I can’t do basic math skjsjdmdmx
Sav [38]

Answer:

2/8 which simplifies to 0.111111

Step-by-step explanation:

7 0
2 years ago
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Alex777 [14]

Answer:

\frac{1}{2}x + 16 = 36

40 comic books

Step-by-step explanation:

Let x be the Jill comic books.

Given:

Jill sold half of her comic books and then bought sixteen more. She now has 36.

\frac{1}{2}\ (Jill\ books) + 16\ more\ books = 36

\frac{1}{2}\ (x) + 16 = 36

\frac{1}{2}x + 16 = 36

Therefore the algebraic equation of the given statement.

\frac{1}{2}x + 16 = 36--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

\frac{1}{2}x + 16 -16 = 36 -16

\frac{1}{2}x = 20

Multiply by 2 both side of the above equation.

2\times \frac{1}{2}x =2\times 20

x = 40

Therefore, Jill had 40 comic books.

8 0
2 years ago
Identify the three similar triangles in the figure. Be sure to name the vertices in the correct order
Sonja [21]

Answer:

BDC  and ADB

Step-by-step explanation:

6 0
2 years ago
Ten weeks of data on the Commodity Futures Index are as follows.
IgorLugansk [536]

The analysis of time series is a process by which a set of observations in a time series is analyzed.

Part a: The time series plot is constructed both in de$mo$ and excel sheet.

b. The data appear to follow a horizontal pattern.

Part b: The trial and error is used to find the value of exponential smoothing coefficient that results in MSE= 0.009 which is less than 0.01.

The MSE in the first table is calculated using the average of the two previous years.

The MSE in the second table is calculated using the moving average

The MSE in the third table is calculated by using ∝= 0.4 and the value of alpha changes to different values as shown in the cell U20, V20 and W20.

The MSE is the mean squared error.

We find the error by subtracting <u><em>forecast</em></u> data from the <em><u>actual</u></em> data.

The forecasted data may be average of 2 years , moving average of 3 years or adding the multiplied chosen value of alpha with the actual data and the multiplied value of 1- ∝ with the forecasted value of data.

The error is then squared.

The squared error is then averaged which gives the MSE.

The values of ∝= 0.400641005, 0.40319659, 0.400641001 may give the best MSE values.

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8 0
2 years ago
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