Function Notation
Evaluating Symbolically
Example 2
Given f(x) = 3x2 + 2, find f(2x).
Step 1. Eliminate the input value "x" and replace it with parentheses.
f() = 3()2 + 2
Step 2. Place the input value of 2x inside the parentheses.
f(2x) = 3(2x)2 + 2
Step 3. Simplify the right side of the equation.
f(2x) = 3(4x2)+ 2
f(2x) = 12x2+ 2