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Composite Function

If gx = 2x ...

Question

If $g (x) = 2 x - 3$ , then what is the value of $g (2) - g (3)$ ?

A

- 2

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B

- 1

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C

2

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D

3

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E

4

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Solution

The correct option is A $- 2$
Given,
$g (x) = 2 x - 3$
In order to find $g (2)$ and $g (3)$ we have to put 2 and 3 in place of x
$g (2) = 2 \times 2 - 3$
$g (2) = 4 - 3 = 1$
$g (3) = (2 \times 3) - 3$
$g (3) = 6 - 3 = 3$
$g (2) - g (3) = 1 - 3$
$g (2) - g (3) = - 2$

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