I. Fill in the blanks (You should write the answer on th obtain 3 points for the right answer on per blank. 3 points total) 1. If \( A=\left[\begin{array}{cccc}3 & 4 & 0 & 0 \\ 4 & -3 & 0 & 0 \\ 0 & 0 & 2 & 4 \\ 0 & 0 & 0 & 2\end{array}\right], A^{4}= \)

Simplify the following. i) \( \frac{x+5+\frac{4}{x}}{\frac{1-7}{x}+\frac{12}{x^{2}}} \) ii) \( \frac{x+5+\frac{4}{x}}{1-\frac{7}{x}+\frac{12}{x^{2}}} \)

386 Indica quale polinomio è ordinato secondo le potenze crescenti della variabile \( x \). \( \square 3 a x^{2}+6 a^{2} x^{3}-7 x^{5}+5 a^{3} x^{4} \) \( \square x^{5}-5 x^{4}+4 x^{3}+3 x^{2} \) \( \square-7 x^{2} y^{3}+\frac{1}{3} x^{3}-2 x y^{4}+\frac{1}{2} x^{4} y \) \( \square-2 x z^{3}+6 x^{2} z^{2}-\frac{3}{4} x^{3}+x^{4} z \)

What does the exponent in an expression indicate?

\( \square a x^{4}+10 a^{2} x^{3}-2 a^{3} x^{2}+\frac{a^{4}}{} \) Indica quale polinomio è ordinato secondo le potenze crescenti della variabile \( x \). \( \square 3 a x^{2}+6 a^{2} x^{3}-7 x^{5}+5 a^{3} x^{4} \) \( \square x^{5}-5 x^{4}+4 x^{3}+3 x^{2} \) \( \square-7 x^{2} y^{3}+\frac{1}{3} x^{3}-2 x y^{4}+\frac{1}{2} x^{4} y \) \( \square-2 x z^{3}+6 x^{2} z^{2}-\frac{3}{4} x^{3}+x^{4} z \)

If \( h(x) = 2^{x-3} + 1 \), determine the expression for its inverse.