Which steps will translate f (x) = 3^x to g (x) = 3^x+1+4

The expression for g (x) is wrong, you skipped some signs and, apparentely, some parentheses. The rigtht expression for g (x) should be g (x) = 3 (x+1) + 4. Note that g (x) = 3 (x+1) + 4 it is the same that f (x+1) + 4. When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up. Therefore, the steps that will translate f (x) = 3x to g (x) = 3 (x+1) + 4 is shift f (x) one unit to the left and four units up.

For the answer to the question on w hich steps will translate f (x) = 3x to g (x) = 3x + 1 + 4? The answer to this question is

f (x) = 3x one unit to the left and four units up