32. If the function f:(1,infinite)to(1,infinite) is defined byf(x)=2powerx(x-1), then f inverse x=

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f : A \to B

f

f : R^{+} \to R^{+}

f (x) = x^{2}

f^{- 1} (x) = \sqrt{x}

⎧ ⎨ ⎩ \begin{matrix} 2 x, i f x < 0 0, i f 0 \leq x \leq 1 4 x, i f x > 1 \end{matrix}

f

\frac{1 - e^{f (x)}}{1 + e^{f (x)}} = x .

g

f,

If a function f(x) is defined on [1,4] $\to$ [1,7] and given that f(3) = 5 and its inverse exists then find $f (f^{- 1} (5))$ .

If a function f(x) is defined on [1,4] $\to$ [1,7] and given that f(3) = 5 and its inverse exists then find $f^{- 1}$ ( f (5) ).

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