The range of the function f(k) = k2 + 2k + 1 is {25, 64}. what is the function’s domain?

Domain is [-9,-6] U [4,7]

Step-by-step explanation:

Range is {25, 64}. Range is the y value

LEts plug in 25 for f(k) and solve for k

Subtract 25 on both sides

Product is -24 and sum is +2. factors are 6 and -4

Do the same and solve for x when f(x)= 64

Subtract 64  on both sides

Product is -63 and sum is +2. factors are 9 and -7

We got k values, -9,-6,4,7

Domain is [-9,-6] U [4,7]

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb