Solve by taking a square root. \( 6 z^{2}=486 \) \( z=\square \)

2.) The function \( g \) is related to one of the parent functions \( g(x)=x 2-3 \) The parent function is: \( f(x)=x^{\wedge} 2 \) Use function notation to write \( g \) in terms of \( f \).

Solve \( 8 n-11<5 n+4 \)

[a] Find the S.S. of the equation in \( \mathbb{R}:\left(x^{2}+4\right)\left(x^{2}-9\right)=0 \)

3.) The function \( g \) is related to one of the parent functions \( g(x)=-(x-2)^{\wedge} 3 \) a.) Identify the parent function \( f \). b.) Use function notation to write \( g \) in terms of \( f \).

Solve the following inequality: \[ \frac{r}{2}+15>45 \]