For a given take-off weight, the take-off distance increases if the air temperature increases. For a specific example, if a KC-135 weighs 200,000 lbs, the take-off distance is modeled by f(t)=1/3(t+145)^2 - 67. If D = f(t) , where D is the take-off distance as a function of t, temperature which is measured in °C and is valid for the temperature domain: [0° to 30°].

Question

For a given take-off weight, the take-off distance increases if the air temperature increases. For a specific example, if a KC-135 weighs 200,000 lbs, the take-off distance is modeled by f(t)=1/3(t+145)^2 - 67. If D = f(t) , where D is the take-off distance as a function of t, temperature which is measured in °C and is valid for the temperature domain: [0° to 30°]. 
Does the inverse exist. If so, interpret the meaning of the inverse function in terms of the relationship between distance and temperature. Within your explanation, include a specific example using correct function notation.

Dont really know where to start on this one. Any help would be greatly appreciated.

bobpursley · Answer

solve for t is the first step. What does the equation mean?