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

f(x)=x^3 -3x +1

If x=u+1, then:
f(u+1)=(u+1)^3 -3(u+1) +1

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

Simplifying this by combining like terms, we get:

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.
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