SOLUTION: I want to check my answer to this problem: Consider the functions {{{f(x)= -x + 1}}} and {{{g(x)= -x^2 - 2x + 1}}} Then calculate {{{f(g(-3))}}} I set it up so that Step one

Question 78552: I want to check my answer to this problem:
Consider the functions and
Then calculate
I set it up so that Step one:
Step two:
Is that correct? And should my answer be further simplified?
Thank you!!!!
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Yes, you have set up the problem correctly. However, your Step 2
is more properly written as:
rather than f= ...
Now, you can just plug -3 in there for x and solve it.
Alternatively, you could find g(-3) first as below, then
plug that result into the f(x) equation:
First, calculate :

Now, plug this in to the f(x) equation. The "x" is now the
value you found for g(-3):

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