Maths-
General
Easy
Question
Find the Quotient and the domain .
Hint:
The expansions of certain identities are:
Finding the quotient is same as division. Dividing a number and multiplying it with a reciprocal of the number have the same effect.
We are asked to find the quotient and the domain of the expression.
The correct answer is: Hence, the domain of the expression is, (-∞,-3)∪(-3,∞)
Step 1 of 3:
The given expression is .
Take the reciprocal of the second expression and then multiply them;
Step 2 of 3:
Simplify the expression and cancel out the common factors;
Thus, the quotient of the expression is:
Step 3 of 3:
The domain of a rational expression should exclude the value for which the denominator attains a zero value. Thus, we have:
Hence, the domain of the expression is, (-∞,-3)∪(-3,∞)
We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.
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