Question: After Julia has driven for half an hour, she was 155 miles east from Denver. After driving for 2 hours, she was only 45 miles

After Julia has driven for half an hour, she was 155 miles east from Denver. After driving for 2 hours, she was only 45 miles east from Denver.Assume that Julia drove at a constant speed.Let fbe a function that gives Julia's distance from Denver after having driven for t hours.

a)Determine a rule for the function f.

b)Interpret the meaning of f^-1(12) and then find its value if it exists.

c)Interpret the meaning of f^-1 (500) and then find its value if it exists.

d)Determine a rule for f^-1

e)Construct a graph for f^-1

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