if f(x)=1*1 graph and write the rule for g(x) if g(f) represents f (x) shifted right 3 places and up 2 places

To graph the function f(x) = 1*1, we need to understand what the expression 1*1 represents. However, in this case, it seems there may be a typo or misunderstanding, as 1 multiplied by 1 is equal to 1, so f(x) = 1.

The graph of f(x) = 1 is a horizontal line at a height of 1 on the y-axis. It is a straight line parallel to the x-axis that intersects the y-axis at the point (0, 1).

Now, let's focus on the function g(f(x)). To shift the graph of f(x) three places to the right, we need to replace x with (x-3) in the expression of f(x).

So, g(f(x)) = f(x-3)

To shift the graph of f(x) up two places, we need to add 2 to f(x-3):

g(f(x)) = f(x-3) + 2

Therefore, the rule for g(x) is g(x) = f(x-3) + 2.