Let \( f(x)=a x+b \) and \( g(x)=c x+d, a \neq 0, c \neq 0 \). Assume \( a=1, b=2 \). If \( (f o... VIDEO
Let \( f(x)=a x+b \) and \( g(x)=c x+d, a \neq 0, c \neq 0 \). Assume \( a=1, b=2 \). If \( (f o g)(x)=(g \circ f)(x) \) for all \( x \), what can you say about \( c \) and \( d \) ?
(A) \( c \) and \( d \) both arbitary
(B) \( c=1, d \) arbitrary
(C) \( c \) arbitrary, \( d=1 \)
(D) \( c=1, d=1 \)
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