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) (5(x-1))/(x-1) = log _(3) 5`
Answer: C ) f ( x ) - g ( x ) = log3 5