Question

Can anyone help me?

Simplify and state the domain for the expression.

Answer 1

\[\frac{ 9x^2-4 }{ 3x^2+13x-10 }\]

Answer 2

Set the denominator = 0, factor it, and then you will know what parts of the domain to exclude from the Real Numbers.

Answer 3

I honestly have no idea what im doing... its a multiple choice test

Answer 4

By finding what makes the denominator = 0, you will know what to exclude.

Answer 5

Oh... ok. Um Let's go ahead and factor the denominator.

Answer 6

3x^2 + 13x -10

(3x - 2)(x + 5)

If x = 2/3 or -5, then the denominator will be 0

So {x|x Cannot equal 2/3 or 5}

Or (-Infinity, 2/3) U [2/3, 5] U (5, Infinity)

What are your choices of answers in the multiple choice?

Answer 7

A) \[\frac{ 3x+2 }{ x+5 }, domain all x, x \neq -5 and x \neq \frac{ 2 }{ 3 }\]
B) \[\frac{ 3x- 2 }{ x+1 }, domain all x, x \neq -5 and x \neq \frac{ 2 }{ 3 }\]
C) \[\frac{ 3x+2 }{ x+5 }, domain all x, x \neq \frac{ 2 }{ 3 }\ and x \neq 1\]
D) \[\frac{ 3x- 2 }{ x- 1 }, domain all x, x \neq \frac{ 2 }{ 3 }\ and x \neq 1\]

Answer 8

@Cosmichaotic

Answer 9

Sec