? 2 ? 3 Composite functions and notation Let ?f? (x)=x -4, g? (x)=x and ?F(x)=1? /(x-3). Simplify or evaluate the following expressions. ? 4 ? F(y )

Step by solution Step 1 of 1 2 3 Consider three different functions f(x)=x -4, g (x)=x and F(x)= 1/(x-3). If we want to find the value of funct ion F (x) for x =y we must use this value in the relation for the func tion (x).This is very easy, just follow the next steps: F(x)=1/(x-3) F(y )=1/(y -3)4 = y 3 . 4 1 So the final value of the function F(y ) is y 3 . 4 1 If we use the rule xn = x , we can write it as (y 3) .