Let $f ( x ) = 2 | x |$ and $g ( x ) = x$ Which of the following is incorrect?

A) $( f + g ) ( 0.5 ) = 1$
B) $( f - g ) ( 0.5 ) = 1$
C) $( g f ) ( 0.5 ) = 0$
D) $\frac { f } { g } ( 0.5 ) = 0$
E) $\frac { g } { f } ( 0.5 ) = 0$

Question

Let $f ( x ) = 2 | x |$ and $g ( x ) = x$ Which of the following is incorrect?

A) $( f + g ) ( 0.5 ) = 1$
B) $( f - g ) ( 0.5 ) = 1$
C) $( g f ) ( 0.5 ) = 0$
D) $\frac { f } { g } ( 0.5 ) = 0$
E) $\frac { g } { f } ( 0.5 ) = 0$

Quizplus · Accepted Answer

The expression $\frac { f } { g } ( 0.5 )$ evaluates to $\frac{2|0.5|}{0.5} = 2$, not 0.

Let f(x)=2∣x∣f ( x ) = 2 | x |f(x)=2∣x∣ And g(x)=xg ( x ) = xg(x)=x