Question

F(X)= 2x^2 +1. Find and simplify af(X)+b and f(ax+b)

Answer 1

Hello,

f(x)=2x²+1
f(ax+b)=2(ax+b)²+1=2(a²x²+2abx+b²)+1=2a²x²+4abx+2b²+1

af(x)+b=a(2x²+1)+b=2ax²+a+b

And f(ax+b)≠af(x)+b not linear