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Maths
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Find the inverse of the following function: g(x) = 4/(3-x)

A function is simply a process that takes in a number, does a few operations on it (for example, add, multiply etc), and then gives out another number. If you want to figure out the inverse of a function,...

EM
Answered by Eytan M. Maths tutor
4967 Views

How do you solve the equation e^2x - 2e^x - 3 = 0 ?

This is a 'quadratic in e^x'. The easiest way to recognise this when starting problems like this is to let y=e^x. As you practice problems like this, you will find yourself moving away from this step. But...

LC
Answered by Lewis C. Maths tutor
14788 Views

How do you simplify something of the form Acos(x) + Bsin(x) ?

This sort of question is quite common, and a little bit complicated, so the explanation is quite long! But it's a great one to understand. There are a few tricks you need to know to be able to do...

JM
Answered by Jack M. Maths tutor
14403 Views

How do you complete the square?

Say you start with a general equation of x2+ax+b=0. (If the x2 has a coefficient the you will need to divide by that first.)

You need to move to the equation (x+a/2)2

BC
Answered by Bryony C. Maths tutor
2944 Views

How do you factorise?

Factorising is just simplyfying into brackets. To do this you need to find common terms on all the parts of the question. For example: fully factorise 3a3b+12a2b2+...

EW
Answered by Elizabeth W. Maths tutor
6923 Views

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