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The function is undefinded if the denominator, x-5, equals 0.
So
.
The domain is
.
In interval notation, this is (-infinity, 5) u (5, infinity).
So
The domain is
In interval notation, this is (-infinity, 5) u (5, infinity).
Answer:
Option A is correct.
The given expression : then;
Step-by-step explanation:
Given the expression:
Cross multiplication the given expression following steps are as follow;
- Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction
- Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
- then, set the two products equal to each other.
Using cross multiplication, on the given expression;
First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)
we have;
Simplify:
[1]
now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]
we have;
Simplify:
Therefore, the given expression is equal to: