Jonathan P.

asked • 09/21/15

finding f(g(x))

let f(x)= √x +1 and g(x)=(x-1)^2
 
find f(g(x))=

1 Expert Answer

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Matthew A. answered • 09/21/15

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Based on the notation, f(g(x)) = x.
 
((x-1)^2)^1/2 +1 = x - 1 + 1 = x
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Jonathan P.

i got the same answer x but idk if i did my work wrong
my work is f(g(x))=(x-1)^2=(√x +1 -1)^2 =x
what did i do wrong?
 
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09/21/15

Frank S.

Jonathan,
 
You performed g(f(x)).  Since you and Matthew each got x, this tells you that f(x) and g(x) are inverses.
 
Frank
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09/21/15

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