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ZanzabumX [31]
3 years ago
10

If(x)= 2e^x-1 +3 , what is f^-1 (x)

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer:

f^-1 (x) =  1+ln( (x-3)/2)

Step-by-step explanation:

hello :

let f(x) = y  so : y = 2e^(x-1) +3

calculate x :  e^(x-1) = (y-3)/2

for : y-3 > 0 :  x-1 = ln( (y-3)/2)    so : x= 1+ln( (y-3)/2)

If(x)= 2e^(x-1) +3 , what is f^-1 (x) =  1+ln( (x-3)/2)

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The value of x in the expression<br> 2x/3 - 7 = 5 is
Andrej [43]

Answer:

The answer is X = 18

Step-by-step explanation:

2x/3 - 7 = 5

Multiply both sides if the equation by 3 : 2x - 21 = 15

Move the constant to the right hand side and change its sign : 2x = 15 + 21

Calculate 2x = 15 + 21

2x = 36

Divide both sides of the eqaution by 2 : 2x = 36

x = 18

Answer X = 18

3 0
3 years ago
Find the 72nd term of the arithmetic sequence -27, -11, 5,
mixas84 [53]

Answer:

1109

Step-by-step explanation:

an = d (n - 1) + c

an = what you're looking for

n = term position

d = the common difference, in your case, 16

c = first term of the sequence, or -27

a₇₂ = 16(72 - 1) + -27 = 1109

5 0
3 years ago
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Zarrin [17]

Answer:

Y = 2/3x-8/3

Step-by-step explanation:

y − 4 = 2/3 ( x − 3)

y − 4 = 2/3x -2

y  = 2/3x +2

~~~~~~~~~~~~~~~~~

-2 = 2/3(1) + b

b = -2 2/3 = -8/3

7 0
3 years ago
After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
8 1/4 pounds of carrots to make 6 carrot cakes. how many pounds of carrots does frank need to make one carrot cake.
jasenka [17]
The answer would be 1.4


6 0
3 years ago
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