<PRE><B>Question 1191974</B>
&lt;br&gt;
f(x)=2x-3&lt;br&gt;
(1) Find f^(-1)(x)&lt;br&gt;
There is a simple method for finding the inverse of a simple function like this, using the idea that an inverse function &quot;un-does&quot; what the function does.&lt;br&gt;
The given function does the following to the input:
.. multiply by 2; and
.. subtract 3&lt;br&gt;
The inverse function, to undo that the function does, must perform the opposite operations in the opposite order:
.. add 3; and
.. divide by 2&lt;br&gt;
ANSWER: f^(-1)(x) = (x+3)/2&lt;br&gt;
(2) By the definition of an inverse function, f(f^(-1)(x))=x&lt;br&gt;
(3) Likewise, f(f^(-1)(4))=4&lt;br&gt;
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