Question

If f(x)=x^2 −1 and g(x)=2x+1, find: a) f(g(x)) and b) gof(x)

Answer 1

the last question b) asks what g*f(x) is.

Answer 2

its just substituting,

f(g(x)) , you know that g(x)=2x+1,

f(2x+1) ,then f(x)=x^2 −1 , substituting,

(2x+1)^2-1

Answer 3

how about g*f(x)? does that mean we multiply (2x+1)^2-1 by f(x)?

Answer 4

a bit different
gf(x)

g(x^2 −1 )

2(x^2 −1 )+1

Answer 5

got it. thank you for your help. :)