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Lunna [17]
3 years ago
13

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th

is graphically.
f(x) = e^x - 1
g(x) = In(x + 1)

Mathematics
1 answer:
Anna [14]3 years ago
4 0

Step-by-step explanation:

We need to show whether

f^{-1}(x) = g(x)

or

g^{-1}(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

\ln{(y+1)} = x

x=\ln{(y+1)}

now we'll interchange the variables

y=\ln{(x+1)}

this is the inverse of f(x)

f^{-1}(x)=\ln{(x+1)}

and it does equal to g(x)

g(x)=\ln{(x+1)}

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

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Consider the Pareto chart, which shows the number of student blood donors by their type for one day of a campus blood drive. How
Marat540 [252]

Question attached

Answer:

130

Step-by-step explanation:

Number of students old donors can be calculated from the Pareto chart by adding number of blood donors on the different bars:

Type 0= 50

Type A= 35

Type B =30

Type AB =15

Therefore 50+35+30+15=130 blood donors

8 0
2 years ago
How to make$1.05 with dimes and quarters?
anyanavicka [17]
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7 0
2 years ago
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)​
Darya [45]

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

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2 years ago
Write 243 as a power of 3
Vlad [161]
Um... Maybe it's 6^3+3^3
5 0
3 years ago
Exponential equation.<br><br> 8x = 1/4
Lady bird [3.3K]

Answer:

-⅔

Step-by-step explanation:

8^x = 4^(-1)

2^3x = 2^(-2)

3x = -2

x = -⅔

8 0
3 years ago
Read 2 more answers
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