Question

X-4/x-6 For what value of vis the rational expression below equal to zero?

Answer 1

x = 4

Explanation:

Rational functions are functions formed by the division of 2 polynomials.

Solutions

The solutions to rational functions are when the rational expression equals zero. In order to set a rational expression equal to zero, we need to set the numerator equal to zero. Remember that the numerator is the expression on the top of a fraction.

• x - 4 = 0
• x = 4

This means that the solution to the rational expression
`(x-4)/(x-6)` is 4 because the expression equals zero when x = 4.

Discontinuities

Solutions for rational functions occur when the expression equals zero, and discontinuities occur when the expression is undefined. Fractions are undefined when the denominator equals zero.

• x - 6 = 0
• x = 6

This means that there is a discontinuity when x = 6.