Precalc help needed, find g ° f!

Mathematics

1 answer:

Nezavi [6.7K]1 year ago

8 0

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)

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