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Leona [35]
3 years ago
12

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

Mathematics
1 answer:
defon3 years ago
7 0
Answer: f^-1(x) = 2x/x-1

Explanation:
Setting y=f(x)

y=x/x-2

This may be rearranged as follows

y(x-2) = x

x•y-2y = x

x•y-x = 2y

x=2y/y-1

The expression shows x in terms of y.

That is it! The inverse function of f(x).

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Help me please, need this done now.
Nikolay [14]

simplifying \frac{\sqrt{4}}{\sqrt[3]{4}} we get 4^{\frac{1}{6}}

Option B is correct.

Step-by-step explanation:

We need to simplify: \frac{\sqrt{4}}{\sqrt[3]{4}}

Solving:

\frac{\sqrt{4}}{\sqrt[3]{4}}

We know that √ = 1/2 and ∛=1/3

\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}

Applying exponent rule: \frac{x^a}{x^b}=x^{a-b}

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So, simplifying \frac{\sqrt{4}}{\sqrt[3]{4}} we get 4^{\frac{1}{6}}

Option B is correct.

Keywords: Solving Exponents  

Learn more about Solving Exponents at:

  • brainly.com/question/13174260
  • brainly.com/question/13174254
  • brainly.com/question/13174259

#learnwithBrainly

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3 years ago
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