Find a point of discontinuity, if any. f(x)=(2x^2+2x-60)/(x^2-x-20)

hogwartsxhoe5t

hogwartsxhoe5t

Answered question

2022-10-29

Find a point of discontinuity, if any
f ( x ) = 2 x 2 + 2 x 60 x 2 x 20

Answer & Explanation

bigfreakystargl

bigfreakystargl

Beginner2022-10-30Added 23 answers

Given, f ( x ) = 2 x 2 + 2 x 60 x 2 x 20 2 ( x 2 + x 30 ) x 2 5 x + x x 20 = 2 ( x 2 + 6 x 5 x 30 ) x ( x 5 ) + 4 ( x 5 ) 2 [ x ( x + 6 ) 5 ( x + 6 ) ] ( x 5 ) ( x + 4 ) 2 ( x + 6 ) ( x 5 ) ( x + 4 ) ( x 5 ) = 2 ( x + 6 ) x + 4
point of discontinuily is: x+4=0
x=-4

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