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Definition of Functions

For the funct...

Question

For the functions $f (x) = a x + b$ , $f (- 1) = - 5$ and $f (3) = 3$ , $f i n d$ $(a - b) .$

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Solution

$f (x) = a x + b$
$f (- 1) = - 5$
$f (3) = 3$
Putting $x = - 1$ ,
$f (- 1) = - a + b = - 5$
$\Rightarrow (a - b) = - (- 5)$
$a - b = 5$

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