(c) from the graph, determine the range and any asymptotes of f.\nthe range of f is (-\\infty,\\infty).\n(typ…

(c) from the graph, determine the range and any asymptotes of f.\nthe range of f is (-\\infty,\\infty).\n(type your answer in interval notation.)\ndetermine the vertical asymptote of f, if it exists. select the correct choice and, if necessary, fill in the answer box to complete\na. the vertical asymptote of f is x = -3.\n(simplify your answer.)\nb. there is no vertical asymptote.\n(d) find f^{-1}, the inverse of f.\nf^{-1}(x)=e^{x}-3 (simplify your answer.)\n(e) find the domain and range of f^{-1}.\nthe domain of f^{-1} is (-\\infty,\\infty).\n(type your answer in interval notation.)\nthe range of f^{-1} is \n(type your answer in interval notation.)
Answer
Explanation:
Step1: Recall the property of inverse function
The domain of (y = f(x)) is the range of (y = f^{-1}(x)), and the range of (y = f(x)) is the domain of (y = f^{-1}(x)).
Step2: Use the given information
We know that the range of (f(x)) is ((-\infty,\infty)) (from part (c)).
Answer:
((-\infty,\infty))