fan and medal. need help quick!
show the steps plz!
write the equation of the function g(x) if g(x)=f(x-3)+1 and f(x)=x^3+1.

Question

fan and medal. need help quick!
show the steps plz!
write the equation of the function g(x) if g(x)=f(x-3)+1 and f(x)=x^3+1.

johnweldon1993 · Answer

$$\large f(x) = x^3 + 1$$

$\large f(x-3)$ means replace every 'x' you see in f(x) with (x-3) so that would give you

$$\large f(x - 3) = (x-3)^3 + 1$$ 

Now since g(x) = f(x-3) + 1 that means

$$\large g(x) = f(x-3)+1 = (x-3)^3 + 1 + 1$$

anonymous · Answer

so this would be my final answer then?o.o

johnweldon1993 · Answer

Well obviously we can combine the 1+1 lol

$$\large g(x) = (x-3)^3 + 2$$

Now as far as the "final" answer...this is technically correct...however if you wish to expand the polynomial you absolutely can :)

anonymous · Answer

oh thank you so much!!!!! :)

johnweldon1993 · Answer

Not a problem :)