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Consider the functions f and g where f(x)=3x-5 and g(x)=x-2. (a) Find the inverse function for f. (b) Given that the inverse of g is x+2, find (g-1 o f)(x).

(a) In order to find the inverse of a function, it is easiest to swap x and y and solve for y. Here this would give, x=3y-5 => x+5=3y => (x+5)/3=y. Hence, f-1(x)=(x+5)/3. (b) Here it is important to re...
RM
Answered by Rebecca M. • Maths tutor
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What if I get a question in the exam that I don't know how to answer?

First off, don't panic. What can seem like a scary question at first will usually turn out to be more simple than imagined and is simply worded oddly or different than you'd imagine. Take a minute to properl...
EH
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What is New Musicology?

New Musicology is a movement that started around 1980 with a series of influential articles published by musicologist Joseph Kerman among others. It criticised the current discipline for being too focused on...
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Answered by Simon G. • Music tutor
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Analyse the weaknesses of the electoral college?

Although it can be argued that the Electoral College protects the voice of small population states, preventing places such as Wyoming from having their votes swept aside by giants such as Texas and Californi...
TD
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Solve the equations y = x + 1 and y = x^2 - 3x + 4 simultaneously.

The first step is to identify that the first equation is linear and the second equation is a quadratic as indicated by the x squared term. Next, take the first linear equation and substitute for y in the sec...
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Answered by Emily I. • Maths tutor
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