Menu Close

f-x-3-f-x-2x-3-F-2-0-F-2-




Question Number 63485 by ANTARES VY last updated on 04/Jul/19
f(x−3)+f(x)=2x−3  F(2)=0.  F(−2)=?
f(x3)+f(x)=2x3F(2)=0.F(2)=?
Answered by MJS last updated on 04/Jul/19
f(x)=ax+b  f(x−3)+f(x)=2x−3  2ax−3a+2b=2x−3  2a=2  −3a+2b=−3  ⇒ a=1∧b=0  f(x)=x  F(x)=∫xdx=(x^2 /2)+c  F(2)=0 ⇒ c=−2  F(x)=(x^2 /2)−2  F(−2)=0
f(x)=ax+bf(x3)+f(x)=2x32ax3a+2b=2x32a=23a+2b=3a=1b=0f(x)=xF(x)=xdx=x22+cF(2)=0c=2F(x)=x222F(2)=0

Leave a Reply

Your email address will not be published. Required fields are marked *