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Tasya [4]
2 years ago
6

What are the domain and range of the function mc013-1

Mathematics
1 answer:
lozanna [386]2 years ago
6 0

The domain and range of the function are:

<h3>How to determine the domain of the function?</h3>

In this exercise, you're given the following function f(x) = 5ˣ ⁻ ³ + 1. Next, we would equate the function to zero (0) to determine its domain as follows:

0 = 5ˣ ⁻ ³ + 1.

-1 = 5ˣ ⁻ ³

-(5⁰) = 5ˣ ⁻ ³

-0 = x - 3

x = 3.

Therefore, the domain are all real numbers and they can be substituted for x to return a valid f(x) value.

From the graph of the given function (5ˣ ⁻ ³ + 1), we can logically deduce that the range comprises all real numbers that are greater than 1.

Read more on domain here: brainly.com/question/17003159

#SPJ1

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step 1

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The volume of the hemisphere is given by the formula

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In this problem, the wide of the toy is equal to the diameter of the hemisphere

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The volume of the cone is given by

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we know that

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The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

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substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

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The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

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