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f(x) = (x + 1)^2 and g(x) = 2(x - 1) Show that gf(x) = 2x(x + 2)

For this question, as we are looking for gf(x) so we first need to plug in our formula for f(x) into the g(x) formula, giving us:
2((x+1)^2 - 1)
We can then expand our squared bracket to get:

Answered by Django M. • Maths tutor

2494 Views

How do prepositions with the Accusative and Dative work?

L.O. Understand how prepositions are used in German. It's really important that you remember which prepositions take which case in order to gain marks for accuracy in your GCSE Writing paper as well as th...

Answered by Monty P. • German tutor

1412 Views

What are the causes of World War One?

Let's split them into long term, short term and the trigger cause:Long Term:Imperialism - Colonies and Colonial expansionNationalism - especially in central EuropeShort Term:Militarism - building up of ar...

Answered by Vicki L. • History tutor

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solid magnesium cannot flow, but liquid magnesium can. Explain why. (3)

In solid magnesium particles are held together and cannot move past each other. Particles in solid Magnesium vibrate. In liquid magnesium particles can move past each other, the reason being the particles...

Answered by Hashim K. • Chemistry tutor

4438 Views

y is inversely proportional to x. When y = 2, x = 3. Work out the value of y when x = 18.

We have that y is inversely proportional to x, which we write mathematically as y ∝ 1/x. We need to be able to solve this, so we re-write this expression as an equations, y = k/x, where ...

Answered by Lauren M. • Maths tutor

16148 Views