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Alisiya [41]
3 years ago
13

Find the inverse

(x)=x^{2} +10" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

9514 1404 393

Answer:

  f^{-1}(x)=\pm\sqrt{x-10}

Step-by-step explanation:

You can find the inverse of

  y = f(x)

by solving for y:

  x = f(y)

__

  x = y² +10

  x -10 = y² . . . . . . . . subtract 10

  ±√(x -10) = y . . . . . take the square root

The inverse relation is ...

  \boxed{f^{-1}(x)=\pm\sqrt{x-10}}

__

It is not a <em>function</em> unless some restriction is placed on the domain of f(x).

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What is an equation of the line that is perpendicular to y+1=-3(x-5) and passes through the point 4,-6
Oliga [24]

Answer:

y=\frac{1}{3}x-\frac{16}{3}

Step-by-step explanation:

Arranging the given equation in slope-intercept form ( y = mx + b ):

y+1=-3(x-5)\\y+1=-3x+15\\y=-3x+15-1\\y=-3x+14

<em>We know that the perpendicular line would have a slope (m) that is </em><em>negative reciprocal </em><em>of this (\frac{1}{3}). Thus we can write the perpendicular line's equation as  y=\frac{1}{3}x+b. </em>

<em />

<em>Now putting x = 4 and y = -6 into the equation, we can solve for b:</em>

<em>y=\frac{1}{3}x+b\\-6=\frac{1}{3}(4)+b\\-6=\frac{4}{3}+b\\b=-6-\frac{4}{3}\\b=-\frac{16}{3}</em>

<em />

Thus, the equation of the perpendicular line is  y=\frac{1}{3}x-\frac{16}{3}

6 0
3 years ago
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Answer: 44.5

Hope this helps :)

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Step-by-step explanation:

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