Q3: Remember for properties of inverse matrix? And what is condition of unique matrix?

For the given functions \( f \) and \( g \), find the indicated composition. \( f(x)=\frac{x-9}{3}, g(x)=3 x+9 ;(g \circ f)(x) \)

\( \begin{array}{ll}1.1 .1 & x=\frac{4}{x}+3 \\ 1.1 .2 & 2 x^{2}=-x+5(\text { Are the roots real or Unreal) } \\ 1.1 .3 & x^{2}-x+6<2(x+2)\end{array} \)

Find the inverse of the one-to-one function. \( f(x)=\sqrt{x+6}, x \geq-6 \)

Use the Rational Zero Theorem to list all possible rational zeros for the given function. \( f(x)=11 x^{3}-x^{2}+3 \)

(l) \( \frac{y^{2}-4 y+4}{2-6 y} \times \frac{2 y+4}{3 y^{2}-12} \)