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

5355 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Let R denote the region bounded by the curve y=x^3 and the lines x=0 and x=4. Find the volume generated when R is rotated 360 degrees about the x axis.


How do you differentiate 5x


Solve the simultaneous equations: y + 4x + 1 = 0, and y^2 + 5x^2 + 2x = 0.


The circle C has centre (3, 1) and passes through the point P(8, 3). (a) Find an equation for C. (b) Find an equation for the tangent to C at P, giving your answer in the form ax + by + c = 0 , where a, b and c are integers.


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