Question

Determine the domain of the function

Answer 1

Choice b is correct anwer.

Explanation:

We have given a function.

h(x) = 9x / x(x²-49)

We have to find the domain of given function.

To find the excluded value of domain,we have to equate the denominator of given function to zero.Solve it for x and the domain is set of all real numbers except this value.

x(x²-49) = 0

x = 0 or x²-49= 0

x = 0 or x² = 49

x = 0 or x = ±7

Hence, dom h(x) = {x s.t x ≠ 0 or x ≠±7}.

Answer 2

The correct answer is choice B

Explanation:

The domain of a function is defined as the set of x-values for which the function is defined. For the given rational function, the function will not be defined if the denominator assumes a value of zero.Therefore, the function will not be defined whenever; x(x^2-49)=0. Solving for x yields; x=0 and x=±7