The inverse of f(x) is (6x + 2)/x.
<h3>What is an inverse function?</h3>
The inverse function is defined as a function obtained by reversing the given function.
Given that f(x) = 2/(x-6)
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
So after switching x and y,
f(x) = y = 2/(x-6)
becomes
x = 2/(y - 6)
Now, we solve for y regularly.
f(x) = y = 2/(x-6)
Solve for y :
⇒ x(y - 6) =2
⇒ xy - 6x = 2
⇒ y = (6x + 2)/x
Therefore the inverse of f(x) is (6x + 2)/x
Learn more about inverse function here:
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In order to make the athletic shoe to slide faster of a given surface you had to reduce the friction coefficient of the shoe with the surface.
One way to do that is to put some grease of the sole of the shoe, which undoubtedly would reduce the friction coefficient drastically and the shoe would slide more easily.
Also, if you make the sole smoother the shoe the friction coefficient would decrease and, again, the show would slide mor easily.
Answer:
-2.85 * 10^(-17) J
Explanation:
Parameters given:
Final velocity, v = 9 * 10^6 m/s
Initial velocity, u = 4.5 * 10^6 m/s
Using the conservation of energy formula, total energy is conserved:
K.Ein + PEin = KEf + PEf
K.Ef - K.Ein = P.Ein - P.Ef
=> -∆P.E = K.Ef - K.Ein
∆P.E = K.Ein - K.Ef
∆P.E = ½mu² - ½mv²
∆P.E = ½m[(4.5 * 10^6)² - (9 * 10^6)²]
∆P.E = ½ * 9.31 * 10^(-31) * (-61.25 * 10¹²)
∆P.E = -2.85 * 10^(-17) J
