if f(x) = log5 (x) is moved right 4 units, and then followed by a horizontal shrink by a factor of 1/3 what is the new equation for g(x) ?

Question

A)g(x) = log4 (1/3x - 4/3)

B) g(x) = log5 (3x - 12)

C) g(x) = log4 (3x + 12)

D)g(x) = log4 (1/3x + 4/3)

Answer 1

B. When it moves to right 4 units, the function is log5 (x-4). When log5 (x-4) gets horizontal shrink by 1/3, it becomes log5 3(x-4)=log5 (3x-12).