Find the inverse of y = 2x+1/ x-1
the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (x-1), giving us:y(x-1) = 2x+1now we need to expand the brackets:yx - y = 2x+1now gather all the x components on the same side:yx-2x = 1+ynow factorise the left hand side:x(y-2) = 1+ynow make x the subject, giving us:x = 1+y/ y-2therefore, the inverse is written in terms of x, which gives us:f(x)^-1 = 1+y/y-2
AS
Related Maths GCSE answers
All answers ▸Solve the simultaneous equations: 5x + 3y = 41 and 2x + 3y = 20 Do not use trial and error.
Factorise 5x^2 + 20x
2x^2+21x=-40
If a student wishes to have a ratio of 2:7 red pens to yellow pens in their pencil case: a) if they have 50 pens total what is the maximum amount they can carry with them b) if they have 18 red and 31 yellow what is the maximum amount they can carry