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What is an Inverse function?

An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y , then the inverse function of f maps y back to x . [1]
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Answered by Ming Fung Y. • Maths tutor
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Factorise and solve x^2 - 8x + 15 = 0

The question gives you a hint on how to go about this question - Factorise!! 1) Factorise the left hand side . Find the two numbers which will add to give -8 and multiply to give 15. In this case, -3 and -5....
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Answered by Kieran N. • Maths tutor
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How do I differentiate f(x) = cos(x)/x?

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v 2 . U = cos(x) which differentiates to -sin(x) so u'= -sin(x) v = x so v' = 1 Therefore, dy/dx = ( -xsin(x) - cos(x) ) / x 2
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Answered by Ewan H. • Maths tutor
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Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first equ...
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Answered by David S. • Maths tutor
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There are 200 students in Year 10 110 are boys. There are 250 students in Year 11 140 are boys. Which year has the greater proportion of boys? (Taken from Nov 2014 AQA Unit 2)

To work this out we need to calculate the percentage of boys in year 10 and year 11. Then we can compare them to find which year has the greater proportion of boys.For Year 10 there are 110 boys out of 200 s...
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Answered by David S. • Maths tutor
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