f(x)3x+1and g(x)x^2-6

Answer 1

f(x) = 3x +1

g(x) = x^2 -6

f(x)+g(x) = x^2 +3x -5

f(x)-g(x) = 3x-x^2+7

f(x)g(x) = 3x^3 +x^2 -6x -6

f(g(x)) = 3(x^2-6)+1 = 3x^2 -17

g(f(x)) = (3x+1)^2 -6 = 9x^2+6x -5