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Option D

Step-by-step explanation:

We have to find the value of the composite function (h o k)(2).

Since, (h o k)(x) = h[k(x)]

(h o k)(2) = h[k(2)]

From the picture attached,

At x = 2

k(2) = (-2)

Therefore, h[k(2)] = h(-2)

Since, h(x) =

Therefore, h(-2) =

                          = -3

(h o k)(2) = -3 is the answer.

Option (D) is the correct option.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.