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If f(x)=x^2 and g(x)=5x-11, then what is fgg(x) when x=3?

g(3)=5(3)-11=15-11= 4 gg(3)=g( 4 )=5(4)-11= 20-11= 9 fgg(3)=f( 9 )=9 2 =81 fgg(3)=81
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Answered by Simon M. Maths tutor
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Solve the simultaneous equations. (1) 2x + y = 18 (2)x − y = 6

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one equat...
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Answered by Samantha W. Maths tutor
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If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?

length x width = area (as rectangle) (x-4)(x-5)=12 x 2 -9x+20=12 x 2 -9x+8=0 (x-8)(x-1)=0 x=8 or x=1 <---- x can't be 1 as we would get negative length and width x=8
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Answered by Simon M. Maths tutor
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Factorise x^2+6x+8

Firstly, as it's highest term is x 2 , it must only have two factor brackets, so the answer has to look like (x + a) * (x + b).Then, to make 6x, we need the a and b term to be either 5 and 1, 4 and 2, or 3 a...
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Answered by Tom M. Maths tutor
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Express (x+1)/2x + (2x+3)/(x+1) as one term

(x+1) 2 + 2x(2x+3) / 2x(x+1)
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Answered by Alex R. Maths tutor
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