Find f(g(x)) and g(f(x)). f(x)=x²-2 and g(x)=√x+1

Sparragus asked Mar 6, 2023

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4 votes

Find f(g(x)) and g(f(x)).
f(x)=x²-2 and g(x)=√x+1

Sparragus asked Mar 6, 2023

2.3k points

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6 votes

Answer:

1. x - 1

2.
√(x^2-1)

Explanation:

$f(g(x)) = √(x+1)^2 - 2\\ = x + 1 - 2\\= x - 1$

$g(f(x)) =√(x^2-2+1)\\ = √(x^2-1)$

Retraut answered Mar 10, 2023

3.1k points

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