SOLUTION: the function given by f(x)=3x converts x yards to feet a. is f a one-to-one function? why or why not? b. Find f-1(x) and interpet what it calculates (the -1 actually looks lik

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Question 599356: the function given by f(x)=3x
converts x yards to feet
a. is f a one-to-one function? why or why not?
b. Find f-1(x) and interpet what it calculates
(the -1 actually looks like a negative 1 exponent but I couldnt figure out to type it in that way
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
a) Is f%28x%29+=+3x a one-to-one function?
Yes it s because for every value of the independent variable (that's x) the function (f(x)) yields a unique value.
b) If f%28x%29+=+3x%29 find f%5E%28-1%29%28x%29
First replace f%28x%29 with y and write:
y+=+3x Now exchange the x and y.
x+=+3y Solve for y.
y+=+x%2F3 Finally, replace y with f%5E%28-1%29%28x%29
f%5E%28-1%29%28x%29+=+x%2F3