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The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).

f(f (x) )= f( (1-x)/(1+x) ) = (1-(1-x)/(1+x))/(1+(1-x)/(1+x))where you replace x by (1-x)/(1+x). Multiply the top and bottom of the fraction by (1+x) to get ((1+x)-(1-x))/((1+x)+(1-x)) which simplifies t...

SP
Answered by Sarah P. Maths tutor
10655 Views

What should I focus on when analysing the use of symbolism and imagery in W.B Yeats's 'Wild Swans at Coole'?

When analysing the use of symbolism in a poem, you should search for a central motif, the meaning of which seems to bear more weight that what may be literally construed upon first reading. In the case of...

TM
Answered by Timothy M. English tutor
3756 Views

What is the normal distribution and how do I use it?

The normal distribution is a distribution we can use when we know the mean and the standard deviation of a population, to work out probabilities that a certain even will occur.
The main properties of...

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Answered by Chantelle C. Maths tutor
3176 Views

Ed has 4 cards. There is a number on each card. Three of the numbers are 12, 6 and 15. The mean of the numbers is 10. What is the fourth number?

To find the mean you add all the numbers together and divide by the number of numbers. Call the fourth number x. Then we know that (12+6+15+x)/4 =10. then multiply both sides by 4 to get 12+6+15+x=40 whi...

SP
Answered by Sarah P. Maths tutor
8969 Views

Explain the key features of conservative nationalism.

Conservative nationalism is a form of nationalism which places a great emphasis on social cohesion and public order, rooted in cultural uniformity and shared tradition.Conservatives endorse an organic soc...

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Answered by Giulia F. Politics tutor
5629 Views

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