Answer:
Lol i think this is da answer man
The area of a circle is equal to − + . What is the radius of the circle?
1 answer:
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Hello!
To prove that f(x) = 2x - 1 and g(x) = x/2 + 1/2, we can use a composite function. Composite functions are basically (f ∘ g)(x). It combines two functions into one. If they are true inverses, then the answer must be equal to x.
(f ∘ g)(x) = 2(x/2 + 1/2) - 1
(f ∘ g)(x) = x + 1 - 1
(f ∘ g)(x) = x
(g ∘ f)(x) = (2x - 1)/2 + 1/2
(g ∘ f)(x) = x - 1/2 + 1/2
(g ∘ f)(x) = x
Since (g ∘ f)(x) and (f ∘ g)(x) are both equal to x, then the functions of f(x) and g(x) are inverses of each other.
Also, in order for two functions to be inverses, these two functions need to be reflected over the line y = x. In the graph shown below, y = x is in red, y = 2x - 1 is blue, and y = x/2 + 1/2 is green. Looking the graph, you can see they are reflected over the line y = x.
Therefore, the function f(x) = 2x - 1 and g(x) = x/2 + 1/2 are true inverses of each other.
Answer:
11860.22 rev/hour
Step-by-step explanation:
The diameter if a cylinder, d = 21.02 inches
Radius, r = 10.51 inches
or
r = 0.875 feet
The linear speed of a point on the cylinder's surface is 18.12 ft/sec.
We need to find the angular speed of the cylinder.
The relation between the linear speed and the angular speed is given by :
Where
is angular speed
or
So, the required angular speed of the cylinder is 11860.22 rev/hour.