f:x-->2x^2+1 and g:x--> 2x/(x-1) where x is not equal to 1. express the composite function gf as simply as possible

need to put f equation into g equation so replace x in g equation with 2x^2+1 gf : x --> 2(2x^2+1) / ((2x^2+1)-1) then need to simplify (expand brackets) 4x^2 + 2 / 2x^2 divide all by 2 (common factor) gf : x --> (2x^2 +1) / x^2

EI
Answered by Elysa I. Maths tutor

5595 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How would I find the formula for the nth term of a sequence such as 3, 7, 11, 15, 19?


How do you expand brackets in a quadratic equation?


Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).


Solve the following equation: 7x + 6 = -5x - 42


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences