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A function `f : RrarrR` is defined as `f(x) = x^(2) +2`, then evaluate each of the following : (i) `f^(-1)(-6)` (ii) `f^(-1)(18)` |
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Answer» (i) `f^(-1)(-6)={x in R : f (x) =-6}` = `{x in R : x^(2) + 2 =- 6}` = `{x in R : x^(2) =- 8} = phi` Ans. (ii) `f^(-1)(18)= {x in R : f(x) = 18}` = `{x in : x^(2) + 2 = 18 } = {x in R : x^(2) = 16 }` = `{x in R : x = +- 4 } = {-4,4}`. Ans. |
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