samanthaisak samanthaisak

29-06-2022
Mathematics

contestada

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

Find fgx and gfx fxx2 and gxx1 class=

Respuesta :

avery7714 avery7714

29-06-2022

Answer:

1. x - 1

2. [tex]\sqrt{x^2-1}[/tex]

Step-by-step explanation:

[tex]f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1[/tex]

[tex]g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}[/tex]

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