1.

Consider the function f(x)= `{{:((x+5)/(x-2),"if " xne 2),(" 1", "if " x=2):}` . Then f(f(x)) is discontinuousA. at all real numbersB. at excatly two values of xC. at ecactly one value of xD. at exactly three values of x

Answer» Correct Answer - B
discontinuous at x=2
`f(f(x))=f((x+5)/(x-2))`
`(((x+5)/(x-2)+5))/(((x+5)/(x-2)-2))=(6x-5)/(-x+9)`
`(6x-5)/(9-x)`
At x=9 it is discontinuous


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