Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,433 questions

17,804 answers

1,438 comments

47,235 users

Composite Function!!!!!!!!!!!!!!!!!!!!!!!!!!!

+2 votes
Find f(1/2) if [f o g](x)= x^4+x^2/1+x^2 and g(x)=1-x^2
asked Feb 23, 2013 in ALGEBRA 2 by andrew Scholar

1 Answer

+1 vote

Given that [f o g] (x)= (x4+x2)/(1+x2)

Takeout common factor x2

f(g(x)=  x2 (x2+1)/(1+x2)

f(g(x)=x2

Given g(x)=1 - x2

Substitute g(x)=1 - x2 in f(g(x)=x2

f(x)=(1 - x2)2

To find f(1/2) substitute 1/2 in f(x)

f(1/2)=[1 - (1/2)2]2
 =[1 - (1/4)]2
=(3/4)2 = 9/16

there fore f(1/2)= 9/16

 

answered Feb 23, 2013 by ferguson Rookie

Related questions

...