For all values of x, f(x) = (x + 1)^2 and g(x) = 2(x-1). Show that gf(x) = 2x(x + 2).

f(x)=(x+1)^2g(x)=2(x-1)
gf(x)=2([(x+1^2)]-1) =2([(x+1)(x+1)]-1) =2([x^2+2x+1]-1) =2(x^2+2x) =2x(x+2)

QQ
Answered by Quamar Q. Maths tutor

3313 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)


The mean of 4 numbers is 8 when a 5th number is added the mean becomes 10, what is the 5th number?


Write √5 ( √8 + √18 ) in the form a√10, where a is an integer, without using a calculator.


Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning