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Inequalities of Integrals

49.: Given th...

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49.: Given that f(x)=X-1, g(x)=X2-2, h(X)=X3-3; Then find 1. fo(goh) 2. (fog)oh

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f (x) = \frac{2}{x - 3}

g (x) = \frac{x - 3}{x + 4}

h (x) = - \frac{2 (2 x + 1)}{x^{2} + x - 12}

lim x \to 3 [f (x) + g (x) + h (x)]

If f(x) = $\frac{1}{x}$ , g(x) = $x^{2}$ and h(x) = $x^{3}$ find f[g(hf(x))].

f (x) = x^{2} + \frac{1}{x^{2}} and g (x) = x - \frac{1}{x}, x ϵ R - {- 1, 0, 1}, and h (x) = \frac{f (x)}{g (x)}

then the local minimum value of

h (x)

f (x) = \frac{2}{x - 3}, g (x) = \frac{x - 3}{x + 4}

h (x) = \frac{- 2 (2 x + 1)}{x^{2} + x - 12}

lim x \to 3 [f (x) + g (x) + h (x)]

2 \sqrt{x}, g (x) = 3 - 1 / x, h (x) = e^{x} + e^{- x}

2 + x^{2}

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