If fx-x-1x-1 and gx-2x-1- f-gx-

The correct option is D xx 1 Given, f(x) = #160; x+1 x 1 and g(x) = 2x 1 ∴ f(g(x)) = f(2x 1) = #160; 2x 1+1 2x 1 1 = 2x 2 ...

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Composite Function

If fx=x+1x-...

Question

If $f (x) = \frac{x + 1}{x - 1}$ and $g (x) = 2 x - 1, f [g (x)] =$

\frac{x - 1}{x}

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\frac{x}{x + 1}

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\frac{x + 1}{x}

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\frac{x}{x - 1}

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\frac{2 x - 1}{2 x + 1}

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How many of the following pairs of function are identcal

(a) $f (x) = \frac{x^{2}}{x}, g (x) = x$

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(d) $f (x) = \frac{x}{x^{2}}, g (x) = \frac{1}{x}$

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How many of the following pairs of function are identcal

(a) $f (x) = \frac{x^{2}}{x}, g (x) = x$

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f (x) = \frac{x . 2^{x} - x}{1 - c o s x}

g (x) = 2^{x}

(\frac{l n 2}{2^{x}})

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