For the function \( f(x)=\sqrt[4]{4^{3(x-4)}} \), find \( f^{-1}(x) \) Answer \[ \begin{array}{ll}f^{-1}(x)=\log _{4}\left(\frac{x^{4}+4}{3}\right) & f^{-1}(x)=\frac{\log _{4}\left(x^{4}\right)}{3}+4 \\ f^{-1}(x)=\left[\frac{\log _{4}(x+4)}{3}\right]^{4} & f^{-1}(x)=\frac{\left(\log _{4} x\right)^{4}+4}{3}\end{array} \]

Solve the following system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. \[ \begin{aligned} 4 x+3 y & =-14 \\ 2 x-y & =-12\end{aligned} \]

Determine which ordered pair(s) are solutions to the following system. \[ \begin{array}{lll}y=4 x-2 \\ y=-x+23 & (5,18) & (3,-10)\end{array}(2,21) \]

23. Reasoning Twenty of the students in Hannah's class, or \( 80 \% \) of the class, voted to have pizza fol lunch every Wednesday. How many students are in Hannah's class?

Solve the equation by factoring. \[ x^{2}=7 x-12 \]

b. Two consecufive number are sucl that the sum of thrice the smaller and twice the larger is 17. Find, correct to three significant figures the smaller number as a percen - tage of the sum of the. two numbers.