Answer:
[tex]\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}[/tex]
Step-by-step explanation:
Given that:
f(x) = x²
Put x = 4x + 5
f(4x + 5) = (4x + 5)²
f(4x + 5) = (4x + 5)(4x + 5)
f(4x + 5) = 4x(4x + 5) + 5(4x + 5)
f(4x + 5) = 16x² + 20x + 20x + 25
f(4x + 5) = 16x² + 40x + 25
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Peace!
