If Fx - -1x-t2 - tdt- then F-3 -

The correct option is C √(6) Given F(x) = #160;∫ _ 1 ^ x √( t ^ 2 t ) #160; dt We get F^ 1 ( t ) #160;= √(x^2 x) Therefore F^ 1 ( 3 ...

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Binomial Integral

If Fx = ∫1x...

Question

If $F (x) = \int_{1}^{x} \sqrt{t^{2} - t} d t$ , then $F^{'} (3) =$

6

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5

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\sqrt{6}

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\sqrt{5}

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\sqrt{3}

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If f : R $\to$ R defined by f(x) = $\frac{2 x + 3}{5}$ , then $f^{- 1} (x) =$

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

\frac{1}{14} (\frac{3}{x} + 5 x - 6)

\frac{1}{14} (- \frac{3}{x} + 5 x - 6)

\frac{1}{14} (- \frac{3}{x} + 5 x + 6)

f (x) = - 2 x + 6

f^{- 1} (x) =

f (x) = \frac{5 x + 6}{7 x + 9}

f^{- 1} (x) =

f : (- \infty, \infty) \to (- \infty, \infty)

f (x) = 5 x - 6

f^{- 1} (x) =

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