Answer:
g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)
Step-by-step explanation:
g o f = g [ f(x) ]
This means replace the x of g(x) with f(x):
g o f = -[f(x)]² + 3 = -(|x|)² + 3
As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)
So g o f = g(x)
Answer:

Step-by-step explanation:
Exponent Multiplication Rule :

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Solving :
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Yes it is the most simplified version
Answer:
all real numbers except -1 and 1
Next question is the first two boxes “infinity & negative infinity” on edge.
For the first part it is D and for the second part it is A and B on edge 2020
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Answer:
11
Step-by-step explanation:
-(-7)^2 + (6*-7) + 4
7^2 + (-42) + 4
49 - 42 + 4 = 11