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Elenna [48]
3 years ago
5

A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured around it. If the concrete cost $4.25

a square foot, how much will it cost for the concrete
Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0
Below is the solution:

volume = lwh 
<span>= 18(3)(1/3) </span>
<span>= 18 cubic feet
</span>
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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (2 points)
n200080 [17]

Given:

f(x)=\dfrac{8}{x}

g(x)=\dfrac{8}{x}

To find:

Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.

Solution:

We know that, two function are inverse of each other if:

f(g(x))=x and g(f(x))

We have,

f(x)=\dfrac{8}{x}

g(x)=\dfrac{8}{x}

Now,

f(g(x))=f(\dfrac{8}{x})              [\because g(x)=\dfrac{8}{x}]

f(g(x))=\dfrac{8}{\dfrac{8}{x}}            [\because f(x)=\dfrac{8}{x}]

f(g(x))=8\times \dfrac{x}{8}

f(g(x))=x

Similarly,

g(f(x))=f(\dfrac{8}{x})              [\because f(x)=\dfrac{8}{x}]

g(f(x))=\dfrac{8}{\dfrac{8}{x}}            [\because g(x)=\dfrac{8}{x}]

g(f(x))=8\times \dfrac{x}{8}

g(f(x))=x

Since, f(g(x))=x and g(f(x)), therefore, f(x) and g(x) are inverse of each other.

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Answer:

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but I think it may be A

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