If f(x-3) = x^3 + 2x^2 + 7x +1, determine f(x)
I'm at a complete loss as to figuring out the process that you would need to solve this problem. Any help would be highly appreciated, thanks so much!
2007-11-28 12:15:45 · 2 answers · asked by Student of Math 2 in Science & Mathematics ➔ Mathematics
Let y = x - 3
f(y) = (y + 3)³ + 2(y + 3)² + 7(y + 3) + 1
f(y) is given by:-
y³ + 9y² + 27y + 27 + 2y² + 12y + 18 + 7y + 22
y³ + 11y² + 46y + 67
f(y) = y³ + 11y² + 46y + 67
f(x) = x³ + 11x² + 46x + 67
2007-11-28 23:21:15 · answer #1 · answered by Como 7 · 2⤊ 1⤋
f(x - 3) = x^3 + 2x^2 + 7x + 1
write the given expression a(x-3)^3 + b(x-3)^2 + c(x-3) + d
f(x-3) = (x -3)^3 + 11(x-3)^2 + 46(x -3) + 67
replace (x - 3) with x
f(x) = x^3 + 11x^2 + 46x + 67
2007-11-28 12:43:00 · answer #2 · answered by mohanrao d 7 · 1⤊ 1⤋