Joan is running in a straight line such that her position varies with time as f(t) = 2t + 5 where t is the elapsed time (in seconds) and f(t) is the distance from the starting point (in meters). What is the inverse function of f(t)?

Question

Joan is running in a straight line such that her position varies with time as f(t) =  2t + 5 where t is the elapsed time (in seconds) and f(t) is the distance from the starting point (in meters). What is the inverse function of f(t)?

calculusfunctions · Answer

To find the inverse of a function

i).   rewrite y = f(x)
ii).  interchange x and y
iii). solve for y

Example:  Find the inverse of f(x) = mx +b

I).   y = mx + b

ii).  x = my + b

iii). x - b = my
      y = (x - b)/m

Therefore$$f ^{-1}(x)=\frac{ x -b }{ m }$$

calculusfunctions · Answer

Good Luck!! I have to log out now but I hope that helps!

anonymous · Answer

I need help :(