Specify the domain of $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 7 x and g ( x ) = 5 x $-$ 6.
A) $( 0 , \infty )$
B) $( - \infty , \infty )$
C) $( - \infty , 0 ) \cup ( 0 , \infty )$
D) $( - \infty , 0 )$

Question

Quizplus · Accepted Answer

The composition $(g \circ f)(x) = g(f(x)) = 5(7x) - 6$ is a linear function in terms of $x$, which is defined for all real numbers, hence the domain is $(-\infty, \infty)$.

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Specify the Domain Of $( g \circ f ) ( x )$