Mathematics
ncis
5

The functions f and g are defined on a suitable domain by F(x)=x^2-1 and g(x)=x^2+2' A) find the expression for f(g(x)) B) factorise f(g(x))

+0
(1) Answers
yassautumn

[latex]f(x)=x^2-1\\ g(x)=x^2+2\\ f(g(x))=(x^2+2)^2-1=x^4+4x^2+4-1=x^4+4x^2+3\\\\ x^4+4x^2+3=\\ x^4+x^2+3x^2+3=\\ x^2(x^2+1)+3(x^2+1)=\\ (x^2+3)(x^2+1)[/latex]

Add answer