Question

Write the equation of the function g(x) if g(x) = f(x – 3) +1 and f(x) = x^3 + 1

Answer 1

in f(x) just replace x with x - 3

Answer 2

i got g(x)=((x^3+1)-3)+1 when i did that

Answer 3

but i get stuck on what to do after

Answer 4

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


then g(x) = (x -2)^3 + 1 + 1

then simplify

Answer 5

oops should read

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

then simplify

Answer 6

((x-3)^3+1)+1
Distribute (x-3)^3 !
((x^3-9 x^2+27 x-27)+1)+1

Answer 7

g(x) = x^3-9 x^2+27 x-25