f(x)=x^2 and g(x)=x+6, find each of the following. (g o f)(-4), (f o g)(4), (g o f)(x), and (f o g)(x)
+130536 f(x)=x^2 and g(x)=x+6, find each of the following. (g o f)(-4), (f o g)(4), (g o f)(x), and (f o g)(x)
(g o f ) (-4) ...this says to put -4 into f and evaluate it....and then put that result into g....so we have
(-4)^2 = 16 and g(16) = 16 + 6 = 22
(f o g ) (4) similarly...put 4 into g, evaluate...put the result into f....so we have.....
4 + 6 = 10 and f(10) = (10)^2 = 100
(g o f)(x)....this says, literally, to put f into g...so we have...
[x^2] + 6 = x^2 + 6
((f o g) (x).......put g into f...and we have
[x + 6]^2 = x^2 + 12x + 36
