SOLUTION: The function defined by v(x)=3.8x converts a volume of x gallons into v(x) liters. a. Find the equivalent volume in liters of 30 gallons of water. b. Find and equation defin

Question 1196895: The function defined by v(x)=3.8x converts a volume of x gallons into v(x) liters.
a. Find the equivalent volume in liters of 30 gallons of water.
b. Find and equation defining y=v^(-1) (x).
c.Use the inverse function in (b) to find the equivalent volume in gallons of 100-liter water.

Answer by ikleyn(52925) (Show Source): You can put this solution on YOUR website!
.


(a)  To answer (a), substitute x= 30 into the given formula; then calculate.

     I sincerely hope that my help is not needed anymore in this step.



(b)  The inverse function is  y = ,  converting liters x into gallons y.



(c)  To find the equivalent volume in gallons of 100-liter water, substitute x= 100 into my formula in (b);

     then calculate.

Solved, explained, and you are fully instructed.

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