Question

g(a)=a^2-3 Find (g*g)(a)Potential answers:A) 4a+15 B) a^4-6a^2+6C) 9aD) 9a+4

Answer 1

Given:

$g(a)=a^4-3$

The expression to calculate g(g(x)) is,

$\begin{gathered} g(g(a))=(a^2-3)^2-3 \\ =a^4-2\times3a+9-3 \\ =a^4-6a+6 \end{gathered}$

Thus, the correct option is option B.