Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

(-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) =

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

If x = 0, the function doesn't exist.

Therefore, the domain of this function is: -∞ < -1 or x > 0

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right

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