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S_A_V [24]
4 years ago
5

F(x) = square root x - 5 find f^-1

Mathematics
1 answer:
poizon [28]4 years ago
6 0
As you may know, to get the "inverse relation" of any expression, we start off by doing a quick switcharoo on the variables, and then we solve for "y".

\bf \stackrel{f(x)}{y}=\sqrt{x-5}\qquad \boxed{x}=\sqrt{\boxed{y}-5}\impliedby \textit{let's square both sides}
\\\\\\
(x)^2=(\sqrt{y-5})^2\implies x^2=y-5\implies x^2+5=\stackrel{f^{-1}(x)}{y}
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Solve 3x + 11 = k for x
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Answer:

3x +11 =k

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x = (k -11) / 3

Step-by-step explanation:

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2 years ago
Which of the following is an example of a function?
Leokris [45]
A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test. 

B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.

C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7

D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.

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Answer: Choice B

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4 years ago
Does this graph show a function?
Montano1993 [528]

9514 1404 393

Answer:

  A

Step-by-step explanation:

A vertical line intersects the graph in <em>more than one place</em>. As a consequence, we say the graph "fails the vertical line test." When the test fails, the graph is not a graph of a function.

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3 years ago
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JulsSmile [24]

Answer:

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Step-by-step explanation:

Plug in the point and slope into y = mx + b, and solve for b:

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Plug in the slope and b into y = mx + b:

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So, the equation of the line is y = -1/4x + 7

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What is 6.025 as a fraction
Svetllana [295]
<span>6025/1000 for a decimal fraction</span>
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4 years ago
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