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zhuklara [117]
3 years ago
10

Find the domain for the expression

Formula1" title=" \frac{2}{\sqrt{x+3}} " alt=" \frac{2}{\sqrt{x+3}} " align="absmiddle" class="latex-formula">
please explain
Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Two rules come into play here:

1) We cannot divide by zero. Thux, x cannot = -3.

2) The domain of the square root function is (0, infinity). This is the dominant limiting factor.

x + 3 must be > 0. Thus, x must be > -3

The domain of this expression is (-3, infinity).

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We have to select all of the transformations that could change the location of the asymptotes of a cosecant of secant function.

So given function can be written as:

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First we need to determine the location of asymptote which is basically a line that seems to be touching the graph of function at infinity.

From attached graph we see that Asymptotes (Green lines) are vertical.

So Vertical shift or vertical stretch will not affect the location of asymptote because moving up or down the vertical line will not change the position of any vertical line.

only Left or right side movement will change the position of vertical asymptote. Which is possible in Phase shift and period change.

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Step-by-step explanation:

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