The function \( f(x)=\frac{4}{x}-2, x \neq 0 \), is one-to-one. Find an equation for \( f^{-1}(x) \), the inverse function. \( f^{-1}(x)=\square, x \neq-2 \) (Type an expression for the inverse. Use integers for any numbers in the expression.)

Part B A tie-dye kit with one T-shirt costs \( \$ 15 \). Each additional T-shirt costs \( \$ 4 \) more. Choose the recursive formula to represent the situation. \( \begin{array}{ll}\text { A. } a_{n}=a_{n-1}+4 ; a_{1}=11 \\ \text { B. } a_{n}=a_{n-1}+4 ; a_{1}=15 \\ \text { C. } a_{n}=a_{n-1}+11 ; a_{1}=15 \\ \text { D. } a_{n}=a_{n-1}+19 ; a_{1}=11\end{array} \)

c. \( (f \circ f)(x)=\frac{-2 x-15}{5 x+13} \) (Factor completely. Simplify your answer.) What is the domain of \( f \) of? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The domain is \( \left\{x \mid-4,-\frac{13}{5}\right\} \). (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) B. The domain is all real numbers.

Solve for \( w \) \[ 3 w^{2}+12 w=0 \]

a. \( (f \circ \mathrm{~g})(\mathrm{x})=\frac{23-2 \mathrm{x}}{5 \mathrm{x}-19} \) (Factor completely. Simplify your answer.) What is the domain of \( \mathrm{f} \circ \mathrm{g} \) ? Select the correct choice below and, if necessary, fill in the answer box to complete your cho (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) B. The domain is all real numbers.

14. \( 4^{x}=4096 \)