If 2 g x -gg1- x - x -1- then find the value of g2-A- 12-10B- -7-10C- 7-11D- 1 - 2

The correct option is B Shortcut: Direct substitution First put x=2 2g(2)+3g(1/2)=2 1=1 Put,x=1/2 2g(1/2)+3g(2)=1/2 1= 1/2 Solving (1) and (2), g(2)= 7/10 ...

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Quantitative Aptitude

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If 2 g x +gg1...

Question

If $2 g (x) + 3 g (\frac{1}{x}) = x - 1$ , then find the value of g(2).

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Solution

The correct option is A

Shortcut: Direct substitution

First put x=2

$2 g (2) + 3 g (\frac{1}{2}) = 2 - 1 = 1$

Put, $x = \frac{1}{2}$

$2 g (\frac{1}{2}) + 3 g (2) = \frac{1}{2} - 1 = - \frac{1}{2}$

Solving (1) and (2), $g (2) = - \frac{7}{10}$

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If 2g(x)+3g(1x)=x−1, then find the value of g(2).

The correct option is A Shortcut: Direct substitution First put x=2 2g(2)+3g(12)=2−1=1 Put,x=12 2g(12)+3g(2)=12−1=−12 Solving (1) and (2), g(2)=−710

If $2 g (x) + 3 g (\frac{1}{x}) = x - 1$ , then find the value of g(2).

The correct option is A

Shortcut: Direct substitution

First put x=2

$2 g (2) + 3 g (\frac{1}{2}) = 2 - 1 = 1$

Put, $x = \frac{1}{2}$

$2 g (\frac{1}{2}) + 3 g (2) = \frac{1}{2} - 1 = - \frac{1}{2}$

Solving (1) and (2), $g (2) = - \frac{7}{10}$