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anastassius [24]
1 year ago
8

What is the domain of the function y = square root x+6 -7?

Mathematics
1 answer:
salantis [7]1 year ago
8 0

Answer:

  -6 ≤ x < ∞

Step-by-step explanation:

You want the domain of the function y = √(x+6) -7.

<h3>Domain</h3>

The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.

The square root function is undefined for negative arguments, so that limits the domain of the given function:

  x+6 ≥ 0

  x ≥ -6 . . . . . domain of the given function

__

<em>Additional comment</em>

When the domain is written in interval notation, both the left and right ends of the interval must be specified.

  [-6, ∞)

The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.

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Answer:

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Step-by-step explanation:

Given data

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6 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
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There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

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This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

3 0
2 years ago
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The equation is the form:
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1

I hope this helps!

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