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Find the inverse: f(x)ln(- |
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Answer» Taking exponent at the both sides => e^(f(x)) = x/(x-2)=> (x-2)/x =1/[e^f(x)]=> 1-2/x = 1/e^[f(x)]=> 2/x = 1-1/e^[f(x)]=> 2/x = [e^f(x)-1]/e^(f(x))=> x = 2e^f(x)/[e^f(x)-1] replace x --- f-¹(x) and f(x)--- x => f-¹(x) = 2e^x/[e^x-1] |
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