Kung f (x) = sqrt (1 + x) at g (x) = (3x ^ 2) / (x ^ 2 + 1), ano ang g [f (x)]?

Kung f (x) = sqrt (1 + x) at g (x) = (3x ^ 2) / (x ^ 2 + 1), ano ang g [f (x)]?
Anonim

Sagot:

Ang sagot ay:

#g f (x) = 3 (1 + x) / (2 + x) #

Paliwanag:

#f (x) = sqrt (1 + x) #

#g (x) = (3x ^ 2) / (x ^ 2 + 1) #

Para sa #g f (x) # kapalit #f (x) # sa halip ng # x # nasa #g (x) # function:

#g f (x) = (3sqrt (1 + x) ^ 2) / (sqrt (1 + x) ^ 2 + 1) #

#g f (x) = (3 (1 + x)) / ((1 + x) +1) #

#g f (x) = 3 (1 + x) / (1 + x + 1) #

#g f (x) = 3 (1 + x) / (2 + x) #