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1.2.3a Function: Example 1

Example 1

Given the function

$f : x \to 6 x + 1$ . Find the value of p if

$f (4) = 4 p + 5$ .

Answer:

$\begin{array}{l} f : x \to 6 x + 1 \\ f (x) = 6 x + 1 \\ f (4) = 6 (4) + 1 \\ f (4) = 25 \end{array}$

$\begin{array}{l} f (4) = 4 p + 5 \\ 25 = 4 p + 5 \\ 4 p = 25 - 5 = 20 \\ p = \frac{20}{4} = 5 \end{array}$