$$\text{f}(x+3)$$ - Add 3 to the given value of $$x$$ then substitute into the function.

$$\text{f}(x)+3$$ - Evaluate the function for the given value of $$x$$ then add 3

$$\text{f}(3x)$$ - Multiply $$x$$ by 3 then substitute this value into the function

$$3\text{f}(x)$$ - Evaluate the function for the given value of $$x$$ then multiply by 3

$$\text{g}(x+2)$$ - $$10$$

$$\text{g}(x) + 2$$ - $$6$$

$$\text{g}(2x)$$ - $$13$$

$$2\text{g}(x)$$ - $$8$$