The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
<h3>How to determine the inverse function?</h3>
The function is given as:
f(x) = 6x + 4
Rewrite as:
y = 6x + 4
Swap x and y
x = 6y + 4
Subtract 4 from both sides
6y = x - 4
Divide through by 6
y = (x - 4)/6
Rewrite as:
f^-1(x) = (x - 4)/6
Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
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Answer:
-256/9 or -28.4
Step-by-step explanation:
-1/3 / 3/5 = -1/3 x 5/3 = -5/9
-29 - -5/9 = -261/9 + 5/9 = -256/9 or -28.4
We are looking for the inner perimeter of the track. Since there are two semicircles, these mix to form one full circle so we can use the formula to find the circumference of the circle with a diameter of 60 m, which was given to us. With a diameter of 60m, the radius will be 30m. Now we can solve this problem.
C = 2πr
C = 2π(30)
C = 60π
The semicircle ends of the track are a distance of 60π m, and now we just need to add the lengths of the inner track which are 100 m each. So:
P = 60π + 100m + 100m
P = 200 + 60π
P = 388.5 m
The area of the circle is given as:
Plugging the value of the radius we have that:
Therefore the area in terms of pi is:
Answer:
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Step-by-step explanation:
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