Determine the domain of the function h(x)=9x/x(x^2-49)

The domain of the function is the set of all the real values except x=0

i.e. the domain: (-∞,∞)-{0}

The domain of a function is the set of all the x-values for which the function is defined.

We are given a function f(x) in the form as:

Hence, the function f(x) is defined everywhere except the point where the denominator is zero.

Hence, we see that the denominator of f(x) is " x "

which is zero only when x=0

Hence, the domain of the function f(x) is the set of all the real values except x=0.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.