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AveGali [126]
2 years ago
6

Find the inverse of each function.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

as you should know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

\stackrel{f(x)}{y}=\sqrt{x}-5\implies \stackrel{\textit{quick switcheroo}}{x=\sqrt{y}-5}\implies x+5=\sqrt{y} \implies (x+5)^2=y \\\\\\ \stackrel{F~O~I~L}{(x+5)(x+5)}=y\implies x^2+10x+25=\stackrel{f^{-1}(x)}{y}

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Answer:

Domain: ( − ∞ , ∞ ) ,  { x | x ∈ R}

Range: ( − ∞ , ∞ ) ,  { y | y ∈ R}

Step-by-step explanation:

We can simplify to understand how to answer the question better.

<em>5 * 11x = 55x</em>

<u>Function range definition:</u><u> </u>

The set of values of the dependent variable for which a function is defined.

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<u>So the solution is.. </u>

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<u>And the interval notation is..</u>

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Which correctly gives the location of the point (–14, 3)? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
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3 years ago
5. On a college campus, the library is 80 yards due east of the dormitory and the recreation center is due north of the
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The length of the new sidewalk between the Dormitory to the recreation center is 143 yards

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<h3>What are Bearing and Distance?</h3>

The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.

From the diagram attached below:

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Using the relation from trigonometry:

\mathbf{Cos \ \theta = \dfrac{adjacent}{hypotenuse}}

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Learn more about Bearing and distance here:

brainly.com/question/17007896

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