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dsp73
3 years ago
14

If (x)=2x+10,then f^-1(x)

Mathematics
1 answer:
vovangra [49]3 years ago
8 0
If f(x) = 2x + 10, then x = 2(f^-1(x)) + 10
[swap f(x) for x and x for f^-1(x)]

Rearrange:
2(f^-1(x)) = x - 10
f^-1(x) = (x - 10)/2
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30÷10 divide until you find the ten thousand digit
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Answer:

The ten thousandth digit would be 0.

Step-by-step explanation:

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3 is a whole number so there would be no decimal which means that in the ten thousandth place would be 0

30/10=3.0000

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An automatics air freshener releases droplets into the air to improve the smell of a living room. At 30 minutes, the canister ha
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Answer:

The equation is;

y = -1/4x + 607.5

Step-by-step explanation:

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The slope can be calculated using;

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= (575-600)/(130-30) = -25/100 = -1/4

So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)

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To get c, we simply substitute one point

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4 0
3 years ago
Determine the commutators of the operators a and a+,where a = (x + ip)/2 ^1/2 and a+ = (x - ip)/ 2 ^1/2
Vsevolod [243]

Answer:

Given that:

a = (\frac{x+ip}{2})^{\frac{1}{2}} and a+= (\frac{x-ip}{2})^{\frac{1}{2}}

if a , a+ commutator, it obeys aa^+ = a^+a

First find:

aa^+ = (\frac{x+ip}{2})^{\frac{1}{2}} (\frac{x-ip}{2})^{\frac{1}{2}}

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Now;

a^+a =(\frac{x-ip}{2})^{\frac{1}{2}} (\frac{x+ip}{2})^{\frac{1}{2}} = (\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}

              =(\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}

therefore, aa^+ = a^+a which implies the operators a and a+ are commutators.    


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