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Find fog and gof , if (i) () `f(x)= |x|` and `g(x)=|5x-2|`(ii) `f(x)=8x^3` and `g(x)=x^(1//3)` |
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Answer» (i)Here, `f(x) = |x|,g(x) = |5x-2|` `:. fog = f(g(x)) = f(|5x-2|) = ||5x-2|| =|5x-2|` `gof = g(f(x)) = g(|x|) = |5|x|-2|` (ii)Here, `f(x) = 8x^3,g(x) = x^(1/3)` `:. fog = f(g(x)) = f(x^(1/3)) = (8(x^(1/3))^3) =8x` `gof = g(f(x)) = g(8x^3) = (8x^3)^(1/3) = 2x` |
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