Week 1: Student Response to Discussion One

Alison Rowley

Jul 20, 2017Jul 20 at 8:08am

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Here are my rational expressions that I was given for this week. I struggled some with this discussion so if you all would check my work and/or please provide comments I would appreciate it!

m2 + 13m + 40 6m

4y – 3 25y2 – 4

The domain is the set of all possible values that can be used as input values in a function. The domain for rational expressions must exclude and real numbers that cause the denominator to be zero. The definition of rational numbers does not allow zero in the denominator.

For my fist expression we need to take the denominator and compare to zero.

M2+13m+40

6m = 0, m=0

m = 0 is undefined

The domain is written in this set: D = (- U (0, m/m 0

For my second expression I need to find the excluded values for y by setting the denominator equal to zero. I set each factor equal to zero.

4y – 3 25y2 – 4

25y2- 4=0

(5y+2)(5y-2)=0

5y+2=0 or 5y-2=0

5y=2, 4y=-2

Y= or Y= -