Question

Y=8/x-3 Identify the set of values x for which y will be a real number

Answer 1

The set of values of x for which y will be a real number according to Y=8/x-3 includes all real numbers except x = 3.

Real numbers in mathematics include the positive and negative integers and fractions (or rational numbers) and also the irrational numbers.

• In essence, the expression Y=8/x-3 only ceases to yield a real number value for y if the denominator becomes zero.

When the denominator becomes zero, the value of y becomes undefined and thus is not a real number.

Therefore, if we set;

• x - 3 = 0

• x = 3.

Consequently, the set of values of x for which y will be a real number according to Y=8/x-3 includes all real numbers except x = 3.

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