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Given the functions f(x) = (x + 2)/9 and g(x) = x^3 + 6, find fg(x).

Firstly, fg ( x ) could be written as f[g ( x )], or in other words, the function f acts on the result of x going through the function g (Bear in mind that I'm using the square brackets only because it's eas...
JJ
Answered by Josh J. • Maths tutor
5537 Views

What is proof and how does it work?

'Proving' something mathematically means showing that it is true for all possible cases. Therefore it isn't sufficient to simply give a lot of examples of a formula or test working; you need to find a way to...
CB
Answered by Cameron B. • Maths tutor
4679 Views

ABD is a triangle, C lies on BD. AD=BD=√2/2 and CD=√3/3. Find the EXACT area of ABC. (all measurements are in cm)

Formula/ Facts you may need for this question: !!! area of a triangle = base * height * 0.5 !!! multiplying fractions = nominators multiplied over denominators multiplied Step 1: whole triangle area ABD = √2...
HO
Answered by Holly O. • Maths tutor
9302 Views

How do we use the Chain-rule when differentiating?

The Chain-rule is used to differentiate a function of a function. Running through an example:Let's say want to differentiate the function y = (2x+1)^3. We can substitute a variable, w, in order to differenti...
HR
Answered by Hira R. • Maths tutor
4928 Views

Solve 2x+y=6, 3x+2y=3 for x and y.

Give each equation a label:(1) 2x+y=6(2) 3x+2y=3Multiply one equation to make the number of x's or y's the same in each equation. 2 X (1) : 2(2x+y=6) 4x+2y=12 (2) 3x+2y=3There are now 2y's in each equation t...
EW
Answered by Emily W. • Maths tutor
4443 Views