<p>If f(x)=5 times squareroot2x, what is the value of f-1(10)?</p>
<p>A. 0.04
B. 0.89
C. 2.00
D. 2.23
E. 22.36</p>
<p>The answer is C, but I don't see how =(</p>
<p>Steps for finding the inverse of a function f:</p>
<ol>
<li>Replace f(x) by y in the equation describing the function. </li>
<li>Interchange x and y. In other words, replace every x by a y and vice versa. </li>
<li>Solve for y. </li>
<li>Replace y by f-1(x). </li>
</ol>
<p>This problem:</p>
<p>f(x)=5 times squareroot2x
y = 5 times squareroot2x
x = 5 times squareroot2y
x/5 = squareroot2y
xsquared/25 = 2y
xsquared/50 = y
10squared/50 = y
100/50 = 2 = f-1(10)</p>
<p>Thanks a lot for the help!</p>
<p>I totally butchered the word math there too ._.</p>
<p>next time...search google.</p>
<p>to find that explanation i just google searched "inverse functions" because i didnt know how to do that problem either</p>