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}