Search our library of Maths questions

Top answers

Maths

All levels

How many books and modules and what are they all about?

For A-Level Maths you have 6 books (3 AS level and 3 A2 level)

C1 (Core Maths 1) the easiest book and simple algebra and polynomials (non-calculator paper) 1h30min long
...

Answered by Siddharth N. • Maths tutor

4250 Views

If x^2 + y^2 = 20 and y=10 - 2x, find x and y.

First work out y² using the second equation, making sure to do this using the FOIL technique. Then substitute this into the first equation to get 5x² - 40x - 80 = 0. All the terms in...

Answered by Sara T. • Maths tutor

8945 Views

f(x) = 2 / (x^2 + 2). Find g, the inverse of f.

Rewrite as y = 2 / (x^2 + 2). Swap all x and y symbols to create x = 2 / (y^2 + 2). Rearrange for y to reach y=g(x)=sqrt( (2-2x) / x ).

Answered by Alfie R. • Maths tutor

3727 Views

Given that y = 5x^3 + 7x + 3, find dy/dx

This is an example of differentiation. With differentiation the key rule that allows us to differentiate most algebraic functions is "times the coefficient by the power then decrease the power by one...

Answered by Tej T. • Maths tutor

5669 Views

If f(x) = (3x-2) / x-5 x>6, find a.) ff(8) b.) the range of f(x) c.) f^-1(x) and state its range.

Firstly, ff(8) is the same as f(f(8)) so f(8) needs to be found first. Subbing in x=8 f(8)=22/3, so f(22/3) is required, Setting x=22/3 f(22/3)= 20/(22/3 - 5) = 60/7. so ff(8)=60/7.Next, as x tends to in...

Answered by Euan F. • Maths tutor

4791 Views