+546 thanks ahead of time for all the hard work!
f(g(x))& g(f(x)) find each function
72) f(x)=3x, g(x)=x^2
74) f(x)=3x^2+2, g(x)=2x
+4473 72) f(x)=3x, g(x)=x^2
f(g(x))...we basically input whatever g(x) is into any x in f(x)
f(x^2) = 3x^2.
g(f(x))...we basically input whatever f(x) is into any x in g(x)
g(3x) = (3x)^2 = 9x^2.
74) f(x)=3x^2+2, g(x)=2x
f(g(x)) = f(2x) = 3[(2x)^2]+2 = 3(4x^2)+2 = 12x^2 + 2.
g(f(x)) = g(3x^2+2) = 2(3x^2+2) = 6x^2+4.
+4473 72) f(x)=3x, g(x)=x^2
f(g(x))...we basically input whatever g(x) is into any x in f(x)
f(x^2) = 3x^2.
g(f(x))...we basically input whatever f(x) is into any x in g(x)
g(3x) = (3x)^2 = 9x^2.
74) f(x)=3x^2+2, g(x)=2x
f(g(x)) = f(2x) = 3[(2x)^2]+2 = 3(4x^2)+2 = 12x^2 + 2.
g(f(x)) = g(3x^2+2) = 2(3x^2+2) = 6x^2+4.
