SOLUTION: Identify the functions that exhibit a removable discontinuity. a. f(x)=x^2+4x-21/x^2-13x+42 b. h(x)=x-3/x^2-9 c. i(x)=x^2-8x+15/x-5 d. j(x)=x+4/-2x+8 e. g(x)=2x^2-5x+12/2x+3

Algebra ->  Functions -> SOLUTION: Identify the functions that exhibit a removable discontinuity. a. f(x)=x^2+4x-21/x^2-13x+42 b. h(x)=x-3/x^2-9 c. i(x)=x^2-8x+15/x-5 d. j(x)=x+4/-2x+8 e. g(x)=2x^2-5x+12/2x+3      Log On


   

Question 1180351: Identify the functions that exhibit a removable discontinuity.
a. f(x)=x^2+4x-21/x^2-13x+42
b. h(x)=x-3/x^2-9
c. i(x)=x^2-8x+15/x-5
d. j(x)=x+4/-2x+8
e. g(x)=2x^2-5x+12/2x+3
f. k(x)=2x^2+x-15/2x-5
Answer by ikleyn(52750) About Me  (Show Source):
You can put this solution on YOUR website!
.

A removable discontinuity occurs when the numerator and the denominator of the given rational function
both have a common polynomial factor.

Use this criterion to complete your assignment on your own.


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