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Dima020 [189]
3 years ago
6

If

c{3}{x+2} -\sqrt{x-3}" alt="f(x)=\frac{3}{x+2} -\sqrt{x-3}" align="absmiddle" class="latex-formula">, complete the following statement:
The domain for f(x) is all real numbers ___ than or equal to 3.
Mathematics
2 answers:
ira [324]3 years ago
7 0

Answer:

The domain for f(x) is all real numbers greater than or equal to 3.

Step-by-step explanation:

f(x)= \frac{3}{x+2} - \sqrt{x-3}

To solve the above equation, the value of x should be greater than or equal to 3, as we have the term \sqrt{x-3} and if value is less than 3, the term inside the square root will be negative and we cannot find the square root of negative numbers.

So, The domain for f(x) is all real numbers greater than or equal to 3.

kodGreya [7K]3 years ago
4 0

Answer:

"greater"

Step-by-step explanation:

The domain is the set of x values for which a function is defined.

When we have a square root is a function, we need to remember that square root can't be negative. Thus, anything under the root would need to be GREATER THAN or EQUAL to 0.

Thus

x - 3 ≥ 0

x ≥ 3

This is the constraint.

Thus

the _____ would be "greater"

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Answer:

  about 44.5 feet

Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

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The rail will bow upward by about 44.5 feet.

_____

<em>Additional comments</em>

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

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