SOLUTION: A function is defined as f(x) = 3x + 4. The inverse of a function “undoes” the function. Which of the following statements is true? a g(x)= (x/3)-4 is the inverse of f(x).

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Question 335838: A function is defined as f(x) = 3x + 4. The inverse of a function “undoes” the function. Which of the following statements is true?
a g(x)= (x/3)-4 is the inverse of f(x).
b There is no function that is the inverse of f(x).
c g(x)= (x/4)-3 is the inverse of f(x).
d g(x)= (x-4)/3 is the inverse of f(x).
e g(x)= (x-3)/4 is the inverse of f(x).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A function is defined as f(x) = 3x + 4.
The inverse of a function “undoes” the function.
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f does the following to its input:
1st: multiplies by 3
2nd: adds 4
------------------------------
Its inverse must "undo" what f has done:
1st: it must subtract 4
2nd: it must then divide by 3
--
So the inverse looks like g(x) = (x-4)/3
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Cheers,
Stan H.
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Which of the following statements is true?
a g(x)= (x/3)-4 is the inverse of f(x).
b There is no function that is the inverse of f(x).
c g(x)= (x/4)-3 is the inverse of f(x).
d g(x)= (x-4)/3 is the inverse of f(x).
e g(x)= (x-3)/4 is the inverse of f(x).