SOLUTION: Some help Please given f(x)=3x-7, find f^-1(x) thank you for your time

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Question 61898: Some help Please

given f(x)=3x-7, find f^-1(x)
thank you for your time
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given function is:

f(x) = 3x - 7

To find f-1(x)

Let y = f(x) = 3x - 7

therefore,

y = 3x - 7

Now solve for "x" from this:

y + 7 = 3x [Adding 7 on both sides, we get]

%28y+%2B+7%29%2F3 = x [Divide by 3]

So now, we have

x = %28y+%2B+7%29%2F3

Thus, f-1(y)= %28y+%2B+7%29%2F3

Thus, replacing x by y, we get:


f-1(x)= %28x+%2B+7%29%2F3

Hence, the solution.