Question

If f of g (x) =x²+2x+1 and f(x)=x².
Find g(x)​

Answer 1

g(x)=x+1 or g(x)=-x-1

Explanation:

f of g(x)=f(g(x))=
`x^(2) +2x+1`, and f(x) =
`x^(2)`, so

`(g(x))^(2)`=
`x^(2) +2x+1`=
`(x+1)^(2)`

g(x)=x+1 or g(x)=-(x+1)=-x-1