Given
Find
Solution
It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.
... f(x) = (x +1)²
... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²
... = (2/5(a+1))²
... f((2a-3)/5) = (4/25)(a² +2a +1)
