Peer Response 2

1. Respond to your classmates’ posts. Is their work similar to your own? Did they use the vocabulary words correctly? Do you understand their answers?

PEERS POST:

For my discussion, I was provided with rational expressions #42. A rational expression is a fraction of polynomials. The domain is the set of any number that can be evaluated as a function. The function doesn't exist because the equation cannot be evaluated. Excluded values would be any value that would define the denominator as zero. Zero in the denominator would make the equation undefined or not an actual number.  A real number or ℜ is any number, as long as the ℜ is not a zero in the denominator.

Expression one:

x^2 + x – 72

24

Factoring the expression breaks the equation into sections to the simplest form.

To factor expression one,  

if the +x = 72 - 72 = 0 ultimately excluded from the equation, then 

x2 = (x-8)(x+9)

divided by 24; therefore, there would be no excluded value making the domain infinite.

And ℜ is a real number

ℜ = infinite

Domain is the set of this representation:

{x: x ∈ ℜ }

 

Expression two:

5b – 3

b2 – 4

Factoring the expression breaks the equation into sections to the simplest. 

To factor expression two,  

5b-3 is in its simplest form

b2 – 4  reduced to any real number that is not 2 or -2, as that would equate to a zero denominator and are excluded values

Answer:

5b - 3

(b – 2)(b + 2)

Domain is the set of this representation:

{b: x b ∈ ℜ , b ≠ 2,-2}

-Angela