141k views
4 votes
Determine any values of X that do not lie in the domain of the function. Justify your response

Determine any values of X that do not lie in the domain of the function. Justify your-example-1
User Supergrady
by
7.4k points

1 Answer

4 votes

Answer:

To summarize:

- The function f(x) = (3x + 2)/(2x - 10) is defined for all real numbers except when the denominator, 2x - 10, is equal to zero.

- Solving 2x - 10 = 0, we find that x cannot be equal to 5, as it would result in a division by zero.

- Any value of x other than 5 lies in the domain of the function f(x).

Explanation:

To determine the values of x that do not lie in the domain of the function f(x) = (3x + 2)/(2x - 10), we need to consider any restrictions or limitations on the x-values.

The function f(x) is defined for all real numbers except for the values that would result in a division by zero.

In this case, the denominator 2x - 10 cannot be equal to zero, as division by zero is undefined.

To find the values of x that make the denominator zero, we can set 2x - 10 equal to zero and solve for x:

2x - 10 = 0

Adding 10 to both sides:

2x = 10

Dividing both sides by 2:

x = 5

Therefore, x cannot be equal to 5, as it would result in a division by zero.

To summarize:

- The function f(x) = (3x + 2)/(2x - 10) is defined for all real numbers except when the denominator, 2x - 10, is equal to zero.

- Solving 2x - 10 = 0, we find that x cannot be equal to 5, as it would result in a division by zero.

- Any value of x other than 5 lies in the domain of the function f(

User Chiamaka Nwolisa
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories