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f:x-->2x^2+1 and g:x--> 2x/(x-1) where x is not equal to 1. express the composite function gf as simply as possible

need to put f equation into g equation so replace x in g equation with 2x^2+1 gf : x --> 2(2x^2+1) / ((2x^2+1)-1) then need to simplify (expand brackets) 4x^2 + 2 / 2x^2 divide all by 2 (common factor) gf...
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Answered by Elysa I. • Maths tutor
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Factorise 3y^2 + 2y

Factorise = take out common term (y in this case) so divide each by y i.e. 3y^2 / y = 3y 2y / y = 2 thus factorised: = y(3y+2)
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Answered by Elysa I. • Maths tutor
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(d) Explain the effect of the different SA:Vol ratios on the rate of osmosis into the potato.

Best way to explain would be to draw a cell with both a big and a large SA:Vol ratio. Visually get to see the effect, to understand why the rate of osmosis changes. note: SA = surface area and Vol = volume e...
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Answered by Elysa I. • Biology tutor
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Name the three structures found in a plant cell that are not found in a neurone

chloroplasts cell wall vacuole best way to show/teach student this would be to draw a plant cell and ask them to label/name structures in the cell and draw them in. drawing = way to learn (visual and kinaest...
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Answered by Elysa I. • Biology tutor
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Jamil has 5 litres of water in a container. He pours 750 millilitres of water into each of 6 bottles. (c) How much water is left in the container? Give your answer in millilitres.

5L water = 5000mL because 1L = 1000mL so multiply by 5 if 750mL is poured into 6 bottles, first need to see how much total has been poured. therefore, do 750mL * 6 = 4500mL so original = 5000mL minus what po...
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Answered by Elysa I. • Maths tutor
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