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

3445 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are 150 men, women and children on a plane. For every 7 men there are 2 women, and for every 1 woman there are 3 children. How many men are on the plane?


Katie buys: 3 pens costing £2.20 each, 1 rubber costing £1.60 and 2 pencils. She pays with a £10 note and a £2 coin. She gets 20p change. What was the price of each pencil?


Solve 3(x-2) = 21


Make r the subject of the formula: 1/r -1/p = 1/t


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