1-The graph of the function f(x)=log 4 (x?3) can be obtained from the graph of g

Question

1-The graph of the function f(x)=log 4 (x?3) can be obtained from the graph of g(x)=log 4 x by one of the following actions: (a) shifting the graph of g(x) to the right 3 units; (b) shifting the graph of g(x) to the left 3 units; (c) shifting the graph of g(x) upward 3 units; (d) shifting the graph of g(x) downward 3 units; Your answer is (input a, b, c, or d)
The domain of the function f(x) is x>A , find A ..............
The value of A is..........
Is the range of the function f(x) still (??,?) ?
Your answer is (input Yes or No) ......................

2-Express the function h(x)=1/x+5   in the form f?g . If g(x)=x+5 , find the function f(x) .
Your answer is f(x) =.....................

Explanation / Answer

1) (a) shifting the graph of g(x) to the right 3 units

2) Domain is x>3

So A=3

3)Range is still (-inf , inf)

Yes0

2) function f(x) is (1/x) (ans)

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