1. Start with the given function:
f(x) = (x + 1)^2
2. Substitute \( x \) with \( 2x - 1 \):
f(2x - 1) = ((2x - 1) + 1)^2
3. Simplify the expression inside the parentheses:
f(2x - 1) = (2x - 1 + 1)^2
f(2x - 1) = (2x)^2
4. Evaluate the squared term:
f(2x - 1) = 4x^2
Answer:
f(2x - 1) = 4x^2