Question

given f(x)=4x+1 and g(x)=x^2-2 which of the following is an expression for f(g(x))

Answer 1

put in g(x) everywhere you see x in f(x)

f(x) =4x+1

substitute x^2-2 for x in the above equation

f(g(x)) = 4(x^2-2) +1

         = 4x^2 -8 +1

          = 4x^2 -7