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Give a formula for the extended function that is continuous at the indicated point.

F(x)= (x-4)/((√x)-2) at x=4

I know the answer I just need to figure out how to work it out. The answer btw is

y= (√x) + 2

1 answer

factor the numerator as a difference of two squares.

(x-4)=(sqrtx +2)(sqrtx -2)

now divide out the sqrtx -2

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