If-f-x-x-3-3x-1-then-find-number-of-different-real-solutions-of-f-f-x-0- Tinku Tara June 4, 2023 Relation and Functions 0 Comments FacebookTweetPin Question Number 33658 by rahul 19 last updated on 21/Apr/18 \boldsymbolIff(x)=x3−3x+1thenfindnumberofdifferentrealsolutionsoff(f(x))=0? Commented by rahul 19 last updated on 21/Apr/18 plshelp. Answered by MJS last updated on 21/Apr/18 f(x)=0x1=−2cosπ9≈−1.879x2=2sinπ18≈0.347x3=2cos2π9≈1.532[Icanshowthewaytotheexactsolutionbutyoucanalsosolvebytry&error]therangeoff(x)=]−∞;∞[butthefunctionreachessomevalues2or3times.soweneedthelocalminimumandmaximum,atf′(x)=0min(f(x))∈[x2;x3]max(f(x))∈[x1;x2]f′(x)=3x2−3=0⇒Min=(1−1);Max=(−13)soy=f(x)reachesy∈]−∞;−1[∩]3;∞[once,y=−1∧y=3twiceandy∈]−1;3[threetimes⇒f(x)reachesy=x1once,y=x2threetimesandy=x3threetimes⇒f(f(x))has7realzeros Commented by rahul 19 last updated on 22/Apr/18 thankusomuchsir!thankusomuchsir! Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-99193Next Next post: solve-for-x-and-y-coshy-7sinhx-3-and-coshy-3sinh-2-x-2- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.