Which function has the domain x greater-than-or-equal-to negative 11?

Given:

Consider the below figure attached with this question.

To find:

The function that has the domain .

Solution:

We know that, a radical function is defined for only non negative radicand.

In option A, the function is defined if

The domain of this function is . So, option A is correct.

In option B, the function is defined if

The domain of this function is . So, option B is incorrect.

In option C and D, the function is defined if

The domains of these function are . So, options C and D are incorrect.

Hence, option A is correct.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0