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please solve this equation (if possible)?
let
f(x) = x /x+3 and g (x ) = x^2
find whether (f o g) (x) and (g o f ) (x) are equal or not ?
its really very very very urgent
3 Answers
- 1 decade agoFavorite Answer
they dont equal
(f o g) (x) = f(g(x)) = f(x) = g(x)/g(x) +3
= x^2/x^2 +3
(g o f ) (x) = g(f(x)) = g(x) = f(x)^2
= (x/(x+3))^2
- mohanrao dLv 71 decade ago
(f o g)(x) = f(g(x)) = f(x^2)
=> x^2/(x^2+3)
(g o f)(x) = g(f(x) = g(x/(x+3))
= [(x/x+3)]^2
= x^2/(x^2 + 9 +6x)
so (f o g) (x) and (g o f) (x) are not equal
- 1 decade ago
f(g(x)) = (x^2)/((x^2)+3)
g(f(x)) = (x/x+3)^2 = (x^2)/((x+3)^2)
So they are not equal!
