Question

What is the domain of this function? A. {-2, 2, 3, 4} B. {-2, 2, 3, 4, 9, 12} C. {3} D. {3, 9, 12}

Answer 1

The domain of a function typically includes all possible input values unless there are restrictions, and the nature of those restrictions would affect our choice.

The correct answer is D. {3, 9, 12}

Step-by-step explanation:

The context seems to be about algebraic expressions involving the variable 'x.'

Given the expressions:

• KL = 3x + 2
• LM = 5x - 1

And the initial information:

• KM = 305

To find the value of 'x,' we can set up an equation using the distances:

KM = KL + LM

Substitute the expressions for KL and LM:

3x + 2 + 5x - 1 = 305

Combine like terms:

8x + 1 = 305

Subtract 1 from both sides:

8x = 304

Divide by 8:

x = 38

Now that we have the value of 'x,' we can find KL and LM:

• KL = 3x + 2 = 3(38) + 2 = 114 + 2 = 116
• LM = 5x - 1 = 5(38) - 1 = 190 - 1 = 189

Therefore, the correct option is not provided in the given choices.

The correct answer is D. {3, 9, 12}