For which of the following functions f(x), is it always true that f(a/b) = f(b/a)?
Choices.
A) f(x) = 1/x B) f(x) = x^2 C) f(x) =1/(x/2) D) f(x) = x+1 E) None of the above
Consider a/b = 2 and b/a = 0.5   A) f(2)=1/2   f(0.5)=2   NO   B) f(2) = 2^2 = 4   f(0.5)= 0.5^2 = 0.25   NO   C) f(2)= 1/(2/2)= 
<gadget id="calculator">1/(2/2)</gadget>
<output>1</output>
1   f(0.5)= 1/(0.5/2)= 
<gadget id="calculator">1/(0.5/2)</gadget>
<output>4</output>
4   NO   D) f(2)=2+1= 
<gadget id="calculator">2+1</gadget>
<output>3</output>
3   f(0.5)= 0.5+1= 
<gadget id="calculator">0.5+1</gadget>
<output>1.5</output>
1.5   NO   Answer is None of the above
<result>E</result>
For which of the following functions f(x), is it always true that f(a/b) = f(b/a)?