Question

Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what is f(x) − g(x)?. . a. f(x) − g(x) = log3 (4x − 4). b.f(x) − g(x) = log3 (4x − 6). c. f(x) − g(x) = log3 5. d. f(x) − g(x) = = log3 1/5.

Answer 1

$f ( x ) = log _{3} ( 5 x - 5 ), g ( x ) =log _{3} ( x - 1 ); \\ f ( x ) - g ( x ) = log _{3}( 5 x - 5 ) - log _{3}( x - 1 ) = \\ log _{3} \frac{5(x-1)}{x-1} = log _{3} 5$
Answer: C ) f ( x ) - g ( x ) = log3 5