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f(x) = 2 / (x^2 + 2). Find g, the inverse of f.

Rewrite as y = 2 / (x^2 + 2). Swap all x and y symbols to create x = 2 / (y^2 + 2). Rearrange for y to reach y=g(x)=sqrt( (2-2x) / x ).

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Answered by Alfie R. Maths tutor
3379 Views

Given that y = 5x^3 + 7x + 3, find dy/dx

This is an example of differentiation. With differentiation the key rule that allows us to differentiate most algebraic functions is "times the coefficient by the power then decrease the power by one...

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Answered by Tej T. Maths tutor
5075 Views

Explain how El Niño cycles can lead to drought. (5 marks)

El Niño cycles occur periodically, on average every 3- 7 years in the Pacific Ocean. Normally-descending air over the Eastern Pacific gives dry condi...

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Answered by Emily D. Geography tutor
11679 Views

If f(x) = (3x-2) / x-5 x>6, find a.) ff(8) b.) the range of f(x) c.) f^-1(x) and state its range.

Firstly, ff(8) is the same as f(f(8)) so f(8) needs to be found first. Subbing in x=8 f(8)=22/3, so f(22/3) is required, Setting x=22/3 f(22/3)= 20/(22/3 - 5) = 60/7. so ff(8)=60/7.Next, as x tends to in...

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Answered by Euan F. Maths tutor
4355 Views

Describe the operations of an optical disk drive used to read data from an optical disk, such as a CD or DVD.

Data is stored one a continuous spiraled track around the optical disk, the track is made up of a continuation of lands and pits, where lands will reflect the light focused onto them, and pits will scatte...

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Answered by Daniel C. Computing tutor
2229 Views

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