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
Answered by Xuanyi A. Maths tutor

5412 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If given two parametric equations for a curve, how would you work out an equation for the gradient?


The curve C has equation ye^(-2x) = 2x + y^2. Find dy/dx in terms of x and y.


Derive double angle formulas from addition formulae


Find the tangent to the curve y=(3/4)x^2 -4x^(1/2) +7 at x=4, expressing it in the form ax+by+c=0.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences