Find the domain of the function f(x)=x2+4x2+3x+2

For this case we must find the domain of the following function:

We add similar terms:

By definition, the domain of a function is given by all the values for which the function is defined. In this case, the function is defined for all real numbers.

So, the domain is given by:

(-∞,∞)

(-∞,∞)

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.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,