Question

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

Answer 1

the function
`h(x)= (9x)/(x) (x^2-49)` has a domain of x≠0 because x is in the denominator. there are no more denominators.

Answer 2

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

i.e. the domain: (-∞,∞)-{0}

Explanation:

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:

`f(x)=(9)/(x)* (x^2-49)`

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.