Rizsidn
Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mabilis na sagot. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

answer this.
if f(x)=x³- 3x +1 show that f(u+1) =u+3u²-1.


Sagot :

The second function means that you just substitute the values inside f() on the variables on the first equation.

[tex]f(x)=x^3 -3x +1[/tex]

If x=u+1, then:
[tex]f(u+1)=(u+1)^3 -3(u+1) +1[/tex]

Expanding, we get: 
[tex]f(u+1)=(u^3 +3u^2+3u+1)-3u-3+1[/tex]

Simplifying this by combining like terms, we get:
[tex]f(u+1)=u^3+3u^2-1[/tex]

I have done some double-checking and this is the answer that I get. Maybe the u-3u^2-1 is a typo? 

If you still have questions, message me or comment on my profile.