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if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x

fg(x) = 7(4/x-2) -1 = x 28/(x-2) - 1 = x 28/(x-2) = x +1 28 = (x+1)(x-2) 28 = x 2 - x - 2 0 = x 2 - x - 30 0 = (x-6)(x+5) x=6 x=-5
SW
Answered by Sophie W. • Maths tutor
16413 Views

I want to buy 1 litre of milk. My options are to either buy 250ml bottles for £1 each or 500ml bottles for £1.50 each. Which is the cheapest way for me to buy 1 litre of milk?

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 cheaper to buy tw...
EM
Answered by Emily M. • Maths tutor
3969 Views

Fully expand (2x+4)(4x-3).

Answer: 8x 2 +10x-12 Explanation: It is really important that every 'term' is multiplied by every other 'term'. A 'term' doens't just refer to the number but also to the sign in front of it i.e. the terms in...
MH
Answered by Matilda H. • Maths tutor
4206 Views

Three forces (4i + 7j)N, (pi +5j)N and (-8i+qj) N act on a particle of mass 5 kg to produce an acceleration of (2i - j) m s 2 . No other forces act on the particle. Find the resultant force acting on the particle in terms of p and q. THEN find p and Q

Three forces : (4 i + 7 j )N , (p i +5 j) N , (-8 i +q j ) N Mass = 5 kg acceleration = (2 i - j ) A.Collect like terms (4+p-8) i +(7+5+q) j = (-4+p) i + (12+q) j B. Recal_ f=ma therefore: 5(2i-j)=(-4+p) i +...
SL
Answered by Shane L. • Maths tutor
9593 Views

When do you use the compound past or the imperfect tense in French?

The compound past is used for actions that are completed and have no further relevance at present. For example, " J’ai fini mes devoirs." On the other hand, the imperfect tense is used for ongoing ...
LB
Answered by Louise B. • French tutor
2363 Views