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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
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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&qu...
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Answered by Tej T. • Maths tutor
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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 conditions that create the Atacama desert, whilst Western Paci...
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Answered by Emily D. • Geography tutor
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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 infini...
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Answered by Euan F. • Maths tutor
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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 scatter t...
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Answered by Daniel C. • Computing tutor
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