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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 m...

Answered by Josh J. • Maths tutor

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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...

Answered by Cameron B. • Maths tutor

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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...

Answered by Holly O. • Maths tutor

8719 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 differe...

Answered by Hira R. • Maths tutor

4245 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 equatio...

Answered by Emily W. • Maths tutor

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