Check my answers please:
Given f(x) = x²+2 ; g(x) = 3x
a)g*f(x):
My answer: g(x²+2) = 3(x²+2)
b)f*g(x):
My answer: (3x)²+2 = 3x²+2
c)g^-1*g(x)
My answer: 3x/3
**I'm unsure of B, C.

Question

Check my answers please:
Given f(x) = x²+2 ;  g(x) = 3x
a)g*f(x):
       >My answer: g(x²+2) = 3(x²+2)
b)f*g(x):
       >My answer: (3x)²+2 = 3x²+2
c)g^-1*g(x)
       >My answer: 3x/3 
**I'm unsure of B, C.

anonymous · Answer

b is 9x+2

anonymous · Answer

B)   f*g(x) = 9x + 2

C)   y=3x
      x=3y
         so,  y=x/3      therefore,   3(x/3) = x

g^-1*g(x) = x

anonymous · Answer

@MathMind
In c you made y = 3x, the reason that i was x/3 is because isn't that the inverse of 3x=y?

anonymous · Answer

a) is correct
b) is incorrect
c) checking...

anonymous · Answer

c is correct

anonymous · Answer

b should be (3x)^2+2=9x^2+2

anonymous · Answer

well yea, i didn't see you didn't simplified it, sorry.  but it's right

anonymous · Answer

and Fruitless is right about b, i miss the (^2) on the x

B)  $$9x^2+2$$

anonymous · Answer

cool. Thanks Guys/Girls. :) 

*Oh and if possible can one of you answer my Inverse question below?*