The function \( f(x)=\frac{4 x+5}{x+4} \) is one-to-one. (a) Find its inverse and check your answer. (b) Find the domain and the range of \( f \) and \( f^{-1} \). (a) \( f^{-1}(x)=\frac{5-4 x}{x-4} \) (Simplify your answer.) (b) Find the domain of \( f \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice (Type integers or fractihs. Use a comma to separate answers as needed.) B. The domain is \( \{x \mid x \leq \). (Type integers or fractions. Use a comma to separate answers as needed.) C. The domain is \( \{x \mid x \geq\} \). (Type integers or fractions. Use a comma to separate answers as needed.) D. The domain is the set of all real numbers.
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