Question

F(x)=x^2+9; f(x+3)

evaluate the function at the given value of the independent variable and simplify

Answer 1

`f(x) = {x}^(2) + 9 \\ \\ f(x + 3) = {(x + 3)}^(2) + 9`


`f(x + 3) =( {x}^(2) + 6x + 9) + 9 \\ \\ f(x + 3) = {x}^(2) + 6x + 18`


`thus \boxed{ \red{f(x + 3) = {x}^(2) + 6x + 18 }}`