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Derivative of One Function w.r.t Another

Let f(x)=1/√x...

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Let f(x)=1/√x+|x|, then domain of f is

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f : D \to R

D

is the domain of

f

. Find the inverse of

f

f (x) = {1 - 2}^{- x}

f (x) = {(4 - {(x - 7)}^{3})}^{1 / 5}

f (x) = ℓ n (x + \sqrt{{1 + x}^{2}})

f (x) = \sqrt{x + 2} + \frac{1}{{log}_{10} (1 - x)}

. Then find the domain of

f (x)

f (x) = (x^{12} - x^{9} + x^{4} - x + 1)^{- 1 / 2}

. Then domain of function

f (x)

f (x) = [x] cos (\frac{π}{[x + 2]})

where, [ ] denotes the greatest integer function. Then, the domain of

f

f (x)

be a real valued function. Then the domain of

f (x) = \sqrt{x - \sqrt{1 - x^{2}}}

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