For the function f(x) = (x-3)3+1, find f (x).

f(x) = 3 + ∛(x − 1)

Step-by-step explanation:

y = (x − 3)³ + 1

x = (y − 3)³ + 1

x − 1 = (y − 3)³

∛(x − 1) = y − 3

y = 3 + ∛(x − 1)

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

i hope this is what you were looking for.

see attached graph