If a function f is defined by f(x)= 1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 3/2 then b= ?
Options:	A) -3	B) 1/3	C) -1/3	D) 3	E) -12
Given that f(x) = 1/x and f(a) = -1/2, then f(a) =1/a=-1/2 ===&gt; a=-2, then backsolve using the answer choices:   f(ab) = f(-2b) = 1/6   A) -3 ===&gt; f(-2*-3) = f(6) = 1/6   B) 1/3 ===&gt; f((-2*1/3) = f(-2/3) = 1/(-2/3) = -3/2   -1/3) -1/3 ===&gt; f(-2*-1/3) = f(2/3) = 1/(2/3) = 3/2 WINS   D) 3 ===&gt; f(-2*3) = f(-6) = -1/6   E) -12 ===&gt; f(-2*-12) = f(24) = 1/-24 = -1/24   Answer: -1/3
<result>C</result>
If a function f is defined by f(x)= 1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 3/2 then b= ?