If fx-5x-11-x find f-1x

The correct option is D x+1x+5 Let f(x)=y x=f^ 1(y) y=5x 11 x y xy=5x 1 y+1=5x+xy y+1=x(y+5) x=x+1x+5 ...

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Algebra of Derivatives

If fx=5x-11...

Question

If $f (x) = \frac{5 x - 1}{1 - x}$ find $f^{- 1} (x)$

\frac{x + 1}{x + 5}

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\frac{x + 5}{x + 1}

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\frac{5 x}{x + 1}

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None

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Solution

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I f 3 f (x) + 5 f (\frac{1}{x}) = \frac{1}{x} - 3,

\forall x \neq 0 ϵ R, t h e n f (x) =

If $3 f (x) + 5 f (\frac{1}{x}) = \frac{1}{x} - 3$ for all non-zero x, then f(x) =

y = f (x) = \frac{x - 5}{5 x - 1}

f (y) = x

if x^2- 5x+1=0,then find the value of x^5+1/x^5

\frac{1}{x + 1} + \frac{3}{5 x + 1} = \frac{5}{x + 4}, x \neq - 1, - \frac{1}{5}, - 4

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