If f(x) = -x2 – 1, and g(x) = x + 5, then f(g(x)) = [ ? ]x2+[? ]x+[?]
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Answer:
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace with
and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since , you can simplify it: