Show all your work for each problem. You may earn partial credit on each problem/pro use your note guides from these sections and a calculator. 1) a. Find the inverse function of \( g . \quad g(x)=3+\sqrt{7+x} \)

4. Vereinfache und berechne. a) \( \left(2^{2}\right)^{4} \) b) \( \left(x^{3}\right)^{5} \) c) \( \frac{\left(18 a^{2} b^{-6}\right)^{-2}}{\left(27 a^{3} b^{-3}\right)^{-4}} \)

Find the equation of the line that is perpendicular to \( y=-4 x+3 \) and contains the point \( (8,1) \). \[ y=\frac{[?]}{[]} x+[] \]

Which statement is true for the tables? (1 point) Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function, but Table B represents a function. Table A represents a function, but Table B does not represent a function.

Ecuación 2. \( \quad 2 \mathrm{X}+6 \mathrm{Y}=34 \) \( \Rightarrow \) Este método resuelve el sistema multiplicando las ecuaciones de tal forma que una incógnita se elimine quedando el sistema solo con una variable.

e) \( \frac{(a x)^{-2}}{(b y)^{3}} \cdot \frac{(a b x)^{2}}{y^{-3}} \)