if-f-x-x-2-2x-2-and-g-x-x-1-find-f-o-g-x-

Question Number 151460 by mathdanisur last updated on 21/Aug/21

if f (x) = x^{2} - 2 x + 2

and g (x) = \sqrt{x} + 1

find [f o g] (x) = ?

Answered by puissant last updated on 21/Aug/21

f (x) = x^{2} - 2 x + 2; g (x) = \sqrt{x} + 1

[f o g] (x) = f (g (x))

= {(\sqrt{x} + 1)}^{2} - 2 (\sqrt{x} + 1) + 2

= x + 2 \sqrt{x} + 1 - 2 \sqrt{x} - 2 + 2

[f o g] (x) = x + 1 . .

Commented by mathdanisur last updated on 21/Aug/21

Thank you S er