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Given two functions f and g where f(x)=3x-5 and g(x)=x-2. Find: a) the inverse f^-1(x), b) given g^-1(x)=x+2, find (g^-1 o f)(x), c) given also that (f^-1 o g)(x)=(x+3)/3, solve (f^-1 o g)(x)=(g^-1 o f)(x)

a) For an inverse function- "inputs become outputs" so swap the positions of the input-variable (i.e "x") with the output variable (i.e f(x)) and then rearange. Once rearanged so that f(x...
KK
Answered by Kendra K. • Maths tutor
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I can't take my books into the exam, how do I memorise them?

First thing is, try not to worry, it's only natural to panic about being able to quote your texts in a closed book exam but you have to remember that the examiners are not expecting you to be able to recite ...
SL
4744 Views

How should you structure an ELAT essay?

I have often found it helpful to think in groups of threes when structuring an essay: three main paragraphs, with three sub-points in each paragraph. In the ELAT, the examiners are looking for students to 'c...
EJ
Answered by Ella J. • ELAT tutor
3990 Views

How can I make myself stand out as a candidate in my personal statement?

The most important thing to keep in mind when writing a personal statement is that you have to show your skills and qualifications, rather than just tell them. The people reviewing your application read thro...
KP
3251 Views

What skills do I need to demonstrate within an ELAT Exam?

Practise thinking critically about texts, words and phrases: The likelihood is that you will not recognise the text presented to you within the exam. However, you can prepare by sharpening up your analytical...
JC
Answered by Justine C. • ELAT tutor
1570 Views