Final answer:
To calculate f(-2) when f(x) = -6(3-5x), substitute -2 into the function, simplify within the parenthesis, and then multiply to find that f(-2) = -78.
Step-by-step explanation:
To find the value of f(-2) for the function f(x) = -6(3-5x), you simply substitute -2 in place of x:
f(-2) = -6(3-5(-2))
Next, multiply -5 by -2:
f(-2) = -6(3-5(-2)) = -6(3+10)
Now, add the numbers inside the parenthesis:
f(-2) = -6(13)
Finally, multiply -6 by 13 to get the answer:
f(-2) = -78
So, the value of f(-2) is -78.