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If `f(x) = 3x + 6 ,g(x) = 4x + k` and `fog(x) = gof(x) ` then k …..A. `-9`B. 18C. `(1)/(9)`D. 9 |
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Answer» Correct Answer - D We have, `f(x) = 3x + 6, g(x) = 4x + k` Since, for (X) = gof (x) `implies f(g) (x) = g(f(x))` `implies f(4x + k) = g(3x + 6)` `implies 3(4x + k) + 6 = 4 (3x + 6) + k` `implies 3k - k = 24 - 6` `implies 2k = 18` `implies k = 9` |
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