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If the functionf(x) = 1/(x+2),then find the points of discountinuity of the composite functiony = f{f(x)}. |
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Answer» `:. y =f{f(x)}` ` = f((1)/(x+2)) = (1)/((1)/(x+2)+2)` `= (1)/(1+2x+4).(x+2)= ((x+2))/((2x+5))` So,the functiony will not continousat those points, whereit is not denfined as it is a RATIONALFUNCTION. THEREFORE, `y = (x+2)/((2x+5))` is not defined, when `2x + 5 = 0` `:.x = (-5)/(2)` Hence,y isdiscountinuousat `x= (-5)/(2)` |
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