Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what is f(x) − g(x)?
f(x) = log3 (5x − 5) and g(x) = log3 (x − 1)
f(x) - g(x) =
log3 (5x − 5) - log3 (x − 1) =
log3 [ (5x -5) / (x -1) ] =
log3 [ 5(x -1) / (x - 1) ] =
log3 5