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

5587 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expanding Brackets: (x+3)(x+4)


When rolling two dice, what is the probability of rolling 7?


Solve the quadratic equation x^2-6x+5=0


Prove the square of an odd number is always 1 more than a multiple of 4


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