Find the inverse of y = (5x-4) / (2x+3)
the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (2x+3), giving us:
y(2x+3) = 5x-4
now we need to expand the brackets:
2xy +3y = 5x-4
now gather all the x components on the same side:
2xy - 5x = -4-3y
now factorise the left hand side:
x(2y-5) = -4-3y
now make x the subject, giving us:
x =(-4-3y) / (2y-5)
therefore, the inverse is written in terms of x, which gives us:
f-1(x) = (-4-3y) / (2y-5)
XA
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