Final answer:
To find f(-6) for the function f(x)=7(3-x), replace x with -6 and simplify the expression to find that f(-6) is 63.
Step-by-step explanation:
To find the value of the function f(x) when x is -6, you substitute -6 in place of x in the equation f(x) = 7(3-x).
- Start by replacing x with -6: f(-6) = 7(3-(-6)).
- Next, simplify the expression inside the parenthesis: f(-6) = 7(3+6), because subtracting a negative number is the same as adding.
- Then, add the numbers inside the parenthesis: f(-6) = 7(9).
- Finally, multiply 7 by 9 to get the result: f(-6) = 63.
So, the value of f(-6) is 63.