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Urgent help needed...............

Urgent help needed...............-example-1

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Answer:

The domain of the function is given by the expression in alternative B

Explanation:

The domain of a function is defined as the set of x-values for which the function is real and defined. For the given rational function, the function will not be defined if the function in 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. This implies that the domain of the rational function is the set of all real numbers except where x=0 and x=±7. These are points of discontinuity

User Leonardo Oliveira
by
8.4k points
4 votes

Answer:

Option b is correct


\ x \\eq \pm 7, x\\eq 0\
.

Explanation:

Domain is the set of all possible values of x where function is defined.

Given the function:


h(x) = (9x)/(x(x^2-49))

To find the domain of the given function:

Exclude the values of x, for which function is not defined

Set denominator = 0


x(x^2-49) = 0

By zero product property;


x = 0 and
x^2-49= 0

⇒x = 0 and
x^2 =49

⇒x = 0 and
x = \pm 7

Therefore, the domain of the given function is:


\ x \\eq \pm 7, x\\eq 0\

User Ali Kamal
by
8.1k points

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