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Quantitative Aptitude

Functions

Given gx+2=...

Question

Given $g (x + 2) = x^{2} - x + 9$ , find the value of $g (- 6)$ ?

A

-47

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B

29

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C

65

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D

81

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Solution

The correct option is D 81
Given, $g (x + 2) = x^{2} - x + 9$
We need to find value of $g (- 6)$
$∴ x + 2 = - 6$
$∴ x = - 8$
$∴ g (- 8) = (- 8)^{2} - (- 8) + 9$
$∴ g (- 8) = 81$

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