f(x) = 2x+3/x-4 Work out f ^–1 (x)

first off, replace all x values with y and all y values with x, which gives us, X = 2Y + 3 / Y - 4 rearrange to give, X(Y - 4) = 2Y + 3 expand the bracket, XY - 4X = 2Y + 3 rearrange to get all Y terms on one side, XY -2Y = 4X + 3 factorise to give Y(X - 2) = 4X + 3 and finally rearrange to get, Y = 4X + 3/X - 2

Answered by Dean J. Maths tutor

2196 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

4x+9y=59.5 and x+y=8. Find the values of x and y.


If we take a number and square it, the answer is also the product of the two numbers either side of it plus one. Prove algebraically that this works for all numbers.


Five numbers have a mean of 9.4 . Four of the numbers are 3, 5, 10 and 12. Work out the range of the five numbers. ( 4 marks )


Given y=x^3+5x+3 find dy/dx when x=3


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences