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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...

Answered by Kendra K. • Maths tutor

8699 Views

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 reci...

Answered by Sophy L. • English Literature tutor

4105 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...

Answered by Ella J. • ELAT tutor

3620 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 t...

Answered by Kalina P. • Personal Statements tutor

2634 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 analyti...

Answered by Justine C. • ELAT tutor

1284 Views