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sin(x)² + cos(x)² = 1

Dividing by cos(x)² gives:

tan(x)² + 1 = sec(x)² 

Which rearranges as:

sec(x)² - tan(x)<...

a² + b² = c²    (Pythagoras' Theorem) 

a² + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3))    (Expanding brackets)

a² + 9 + 6√(3) + 6√(3...

Rearrange to get cos(x+25) = 0.6

Use inverse cosine to get (x+25) = -53.13... 53.13... 306.86... 413.13...

Isolate x to get x = -78.13... 28.13... 281.86... 388.13...

Apply the limits...

fg(x) = 7(4/x-2) -1 = x

28/(x-2) - 1 = x

28/(x-2) = x +1

28 = (x+1)(x-2)

28 = x² - x - 2

0 = x² - x - 30

0 = (x-6)(x+5)   x=6 x=-5

If you were to buy 250ml bottles you would need four meaning - 250 x 4 = £1 x 4 = £4.

If you were to buy 500ml bottles you would need two meaning - 500 x 2 = £1.50 x 2 = £3.

Therefore it is ...