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iren [92.7K]
3 years ago
10

What is the inverse function of f(x) = x/x-2

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

9514 1404 393

Answer:

 f^-1(x) = 2x/(x -1)

Step-by-step explanation:

You can find the inverse function by solving for y:

  f(y)=x\\\\\dfrac{y}{y-2}=x\\\\x(y-2)=y \qquad\text{multiply by $y-2$}\\\\xy-2x=y \qquad\text{eliminate parentheses}\\\\xy-y=2x \qquad\text{add $2x-y$}\\\\y(x-1)=2x \qquad\text{factor}\\\\y=\dfrac{2x}{x-1} \qquad\text{divide by the coefficient of $y$}\\\\\boxed{f^{-1}(x)=\dfrac{2x}{x-1}} \qquad\text{in functional form}

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How many groups of 3/4 are in each of the following questions?
marysya [2.9K]

Answer:

12 1/3

Step-by-step exp

First, you need to add up 11/4 and

6 1/2

11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4

To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4

37/4 ÷ 3/4

= 37/4 × 4/3 (4 will cancel out 4)

= 37/3

=12 1/3

3 0
3 years ago
What is the volume of the box pictured below?
SpyIntel [72]

Answer:

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Step-by-step explanation:

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3 years ago
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This can be particularly useful when you're trying to find an angle on a right triangle, but you've only been given the lengths of the sides. To find any angle \theta in a right triangle, just take \sin^{-1} \frac{o}{h}, where o is the side opposite \theta and h is the hypotenuse of the right triangle.

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