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Definition of Functions

In the xy-p...

Question

In the $x y$ -plane, the point (3,6) lies on the graph of the function $f (x) = 3 x^{2} - b x + 12$ . What is the value of $b$ ?

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Solution

As the point lies on the function, it should satisfy it.
Hence, $3 (3)^{2} - 3 b + 12 = 6$
$=> 27 - 3 b + 12 = 6$
$=> 3 b = 33$
$b = 11$

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