Find the Domain of the Rational Function $$f ( x ) = \frac { 2 x ^ { 2 } - 4 } { 3 x ^ { 2 } + 6 x - 45 }$$

question 253

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { 2 x ^ { 2 } - 4 } { 3 x ^ { 2 } + 6 x - 45 }$$

• A) all real numbers
• B) \(\{ x \mid x \neq - 3 , x \neq 5 \}\)
• C) \(\{ x \mid x \neq 3 , x \neq - 3 , x \neq - 5 \}\)
• D) \(\{ x \mid x \neq 3 , x \neq - 5 \}\)

Interpret the significance of the probability of individual values in continuous distributions.

Distinguish between probability calculations for continuous and discrete random variables.

Calculate probabilities using the probability density function for continuous random variables.

Understand the application of continuous distributions in approximating discrete variables.

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