f(x)=x^2+3x+1,g(x)=2x-3, find fog and gog

Answer 1

fog
= f(g(x))
= f(2x-3)
= (2x-3)^2 + 3(2x-3) + 1
= 4x^2 - 12x + 9 + 6x - 9 + 1
= 4x^2 - 6x + 1

now do gog in the same way

Answer 2

Good