Reiny - I don't understand can you explain how you did this -
I will assume you meant
g(x) = (x-3)^2
(f o g)(11) = f(g(11))
= f(64)
= 64-20
= 44
Sure! Let me break it down step by step for you.
First, let's look at the function g(x) = (x-3)^2. The notation (f o g)(x) represents the composition of two functions, f and g.
To find (f o g)(11), we need to evaluate the function f at the value of g(11).
To find g(11), substitute 11 into the function g(x). So, g(11) = (11-3)^2 = 64.
Now, we can substitute 64 into the function f. The function f(x) is not explicitly given, but we know that f(x) = x - 20. So, f(64) = 64 - 20 = 44.
Finally, we have our answer: (f o g)(11) = 44.
In summary:
- Plug the given value (11 in this case) into g(x) to find g(11).
- Plug the result (64 in this case) into f(x) to find f(g(11)).
- Perform the calculations to get the final answer.